3 boys shared a box of chocolate. The first boy got 3/8 of the total and the 2nd boy got 2/5 of the remainder and the 3rd boy got 9. How many chocolates were in the box and how many did the boy with the smallest share get?​

Answers

Answer 1

Answer:

1. there were 24 chocolates in the box at first.

2. the boy with the smallest share received 6 chocolates.

Explanation:

let's represent the number of chocolates in the box with 8x.

the first boy got ⅜ × 8x  = 3x chocolates. now, there are 8x - 3x = 5x chocolates remaining.

the second boy got ⅖ × 5x = 2x chocolates. now, there are 5x - 2x = 3x chocolates remaining.

3x = 9 chocolates

x = 3 chocolates

since the original number of chocolates was represented by 8x, we now know that there were 8 × 3 = 24 chocolates in the box at first.

the first boy got 9 chocolates, the second boy got 6 chocolates and the last boy got 9 chocolates. thus, the boy with the smallest share got 6 chocolates.

i hope this helps! :D


Related Questions

David has earned the following test
grades: 89, 96, 99, 85. What is the
grade David has to earn on his 5th test to maintain a test
average of 90?

Answers

Answer:

81

Step-by-step explanation:

Required average= 90

let the required grade be x

Average= Sum of n numbers

90= 89+96+99+85+x divide by 5

450= 369+x

x = 450-369

x=81

Simplify the expression.
ab4c7
a3bc5
b[?]
Ic
al

Answers

Answer:

b^3c^2/a^3

Step-by-step explanation:

Answer:

[tex]\frac{b^{3}c^{2} }{a^{2} }[/tex]

Step-by-step explanation:

Here are the percents of the popular vote won by each successful candidate in 15 presidential elections. 49.6, 55.1, 57.4, 49.7, 61.1, 43.4, 60.7, 50.1, 50.7, 58.8, 53.9, 43.2, 49.2, 47.9, 51.2 what is the maximum

Answers

Answer:

Maximum = 61.1

Step-by-step explanation:

Given - Here are the percents of the popular vote won by each successful candidate in 15 presidential elections. 49.6, 55.1, 57.4, 49.7, 61.1, 43.4, 60.7, 50.1, 50.7, 58.8, 53.9, 43.2, 49.2, 47.9, 51.2

To find - What is the maximum ?

Proof -

We have to find which candidate got highest votes in the election .

For this, we first arrange all 15 in ascending order i.e. lowest to highest.

Now,

The arrangement is like this -

43.2,

43.4,

47.9,

49.2,

49.6,

49.7

50.1,

50.7,

51.2,

53.9,

55.1,

57.4,

58.8,

60.7,  

61.1

From this , we get

Lowest votes =  43.2

Highest votes = 61.1

⇒Maximum = 61.1

What is the distance between the points (7, 8) and (-8, 0) on a coordinate grid?

Answers

Answer:

17 units

Step-by-step explanation:

Moving from (-8, 0) to (7, 8), we see x changing by 15 units from -8 to 7 and y changing by 8 units from 0 to 8.

Regard 15 units as the horizontal leg of a right triangle and 8 units as the vertical leg.  We use the Pythagorean Theorem to determine the length of the hypotenuse of this right triangle and interpret the result as the distance between the points:

d = √(15² + 8²) = √289 = 17

The distance between the given points is 17 units.

How much larger is the circumference of circle A than the circumference of circle B?

Give your answer to one decimal place.
diameter of circle A is 13 and B is 8

Answers

Answer:

Circumference of Circle A is about 16 units larger than the Circumference of Circle B

Step-by-step explanation:

Formula for Circumference of a circle = πd

Where, d = diameter of circle

Thus:

Circle A diameter = 13

Circle B diameter = 8

Therefore:

Circumference of Circle A = π*13 = 40.8407045 ≈ 41 unit (nearest whole number)

Circumference of Circle B = π*8 = 25.1327412 ≈ 25 unit (nearest whole number)

✔️Difference between circumference of Circle A and Circle B = 41 - 25 = 16

Therefore the Circumference of Circle A is about 16 units larger than the Circumference of Circle B

Christine has $90 in a savings account. The interest rate is 5%, compounded annually.
To the nearest cent, how much interest will she earn in 3 years?

Answers

Answer: $13.5

Step-by-step explanation:

90 x 5% = 4.5 x 3 = 13.5

Write a fraction on the blank to make the comparison true .Use the fractions form the box .Explain how you choose your number 3/5>3-4

Answers

Answer:

Explained

Step-by-step explanation:

So I'm not sure if you mean by 3/4 or 3-4. But I'm going to assume that its 3-4 because 3/4 is greater than 3/5

3/5 is equal to 0.6 -> you can also find 0.6 by multiplying 3/5 * 2 on both sides which will be 6/10 which is 0.6

and 3-4 is - 1 (which is negative)

since 3/5 is positive and 3-4 is negative. You would know that this is true.

What is the volume of the composite figure? Use 3.14 for π and round the answer to the nearest tenth of a cubic unit.


Answers

Answer:

V=1582.56 cubic cm

Step-by-step explanation:

Team A and team B play in a competition Team A has 12 more points than team B Team A has twice as many points as team B How many points does each team have

Answers

Answer:

A = 24 points

B = 12 Points

Step-by-step explanation:

Team A and team B play in a competition

Team A has 12 more points than team B

A = B + 12

Team A has twice as many points as team B

A = 2B

We substitute

2B = B + 12

2B - B = 12

B = 12 points

Solving for A

A = 2B

A = 2 × 12

A = 24 points

When Beth buys 4 chocolates, she gets 8 free game tokens. Write the equation for the relationship between x and y. *

Answers

Answer:

y= 2x

y= x+4

Step-by-step explanation:

I am confused here.

since one data is given, the equation could be any of the two.

Justin went out to lunch. His bill was $3.18. If he gave the waitress $10.00, how much change should he receive? A. $7.82 B. $5.82 C. $6.82 D.

Answers

$10.00 - $3.18= C. $6.82

hii please help i’ll give brainliest!!

Answers

Answer:

first answer

Step-by-step explanation:

yeaaaaaaaaaa

the price of coffee beans, b, fluctuates by 14% in both directions over a 4-month period. Which of the following expressions does not represent the possible cost of the coffee beans?
a. b - 0.86b
b. 1.14b
c. 0.86b
d. b + 0.14b​

Answers

Answer:

I don't know but I need points, look it up on go0gle

Help me with this please!!!!

Answers

Answer:

yes

Step-by-step explanation:

it said it is a perpendicular BISECTOR, H is the mid point of KI, HK = 7

[tex]\huge{\underline{\underline{\boxed{\sf{\red{Answer࿐}}}}}}[/tex]

Yes!

find the value of angle ABC A(3x)B(x+4) C 110
A 30.5 degrees
B 60 degrees
C 80.5 degrees
D 121.5 degrees

Answers

80.5 that’s the answer yep yep

the product of two consecutive integers is 120. write an equation to find the integers.​

Answers

Answer:

The consecutive even integers are

n

n + 2

n(n + 2) = 120

n2 + 2n - 120 = 0

(n + 12)(n - 10) = 0

n = -12 or 10

Step-by-step explanation:

There are 2 solutions:

n = -12

n + 2 = -10

and

n = 10

n + 2 = 12

help help help help help help help help help help help help

Answers

Answer: 25

Step-by-step explanation:

Calculate all of this please and you will get the brainlist

Answers

Answer:

4. 118 kg

w = 450 j ,  d = 3.8 m

w = mgh ⇒mg = w / h ⇒m = 450/3.8 = 118 kg

5. 9806.65 Joules

6. 25 J

Please help giving BRAINLYEST and TONS of points​

Answers

Answer:

A, 2π/3

Step-by-step explanation:

First eliminate the √5 from the equation,

we get (4π - 2π) / 3,

then simply we can get the answer of 2π/3 which is A

A container of chocalates has a ratio of dark to milk chocolates of 3 to 5. If you have 18 dark chocolates, then how many milk chocolates do you have?

Answers

Answer:

30 milk chocolates

Step-by-step explanation:

We can set up the equation like this: 3*x=18

So we can solve that by 18/3 = 6

Now the mile chocolates are 5x, so if you multiply 5 by 6, you get 30

Of the tangent is 15/20 what’s the sine of the angle

Answers

Answer:

25

Step-by-step explanation:

what % of $4 = $1
Please hurry​

Answers

Answer:

25%

Step-by-step explanation:

The answer is 25%

hope that is right..

a salesman earns 40% commission on all the merchandise that he sells. Last month he sold $600 worth of merchandise. How much in commission (in dollars) did he earn last month?​

Answers

Answer:

should be 240 in commission, 840 in total.

$240
EXPLANATION:
if he gets 40% commision,

this means he gets 40% of how much he sells.

So, 40% of what he sold, (600) is 240.

HAVE A GOOD DAY

LOOK I really new help on this I will give u cash for it just give me your cash app or Venmo please help this is so many points
question
(60-5.8) ÷ 5 - 3^2
can you please explain it in an essay type like words and not just show me the answer I need it to show me how you got the answer don't give me just the answer

Answers

Answer:

1.84

Step-by-step explanation:

First you solve what is in the parenthesis.

60 - 5.8 = 54.2

The equation is now 54.2 ÷ 5 - 3^2

Now, you do the exponents. 3^2 = 9 since 3 to the second power is just another way to write 3 x 3.

Your equation is now 54.2 ÷ 5 - 9

You then divide 54.2 ÷ 5

54.2 ÷ 5 = 10.84

The last equation is 10.84 - 9

10.84 - 9 = 1.84

Answer:

Answer 1.84.

Step-by-step explanation:

The first person's answer and explanation is correct.

If the number of hours you hours you work is proportional to the amount of money you earn per hour, which og tye following statements is true?​

Answers

Answer:

it should be a

Step-by-step explanation:

if you work for $10 an hour, and work for 2 hours, you make $20 but if you double the hours worked, so 4 hours, you make $40, which is double the hours, and double the money

Question 1 of 10
sin = 20/29
find tan 0

Answers

Step-by-step explanation:

Answer is in the photo. I can't attach it here, but I uploaded it to a file hosting. link below! Good Luck!

Cutt/ly.627929

You have already found tan 0 because the answer is 0

Write the slope intercept equation for this table

Answers

Answer:

y = 2x -4

Step-by-step explanation:

y2 - y1 / x2 - x1

-4 - (-6)/ 0 - (-1)

= 2

y = mx + b

y = -2x + b

-4 = -2(0) + b

-4 = 0 + b

-4 = b

So the equation is y = 2x -4

finish this anyone? number 8

Answers

Answer:

3) reflexive property

4) Side-Angle-Side

Step-by-step explanation:

At 3 is reflexive property and At 4 is side angle side

In Circle F, determine the value(s) of x.

Answers

Answer:

since inscribed angle is half of the central angle

x²+22=2(x²+3)

x²+22=2x²+6

22-6=2x²-x²

16=x²

x=√16=±4

determine the value(s) of x=±4

What is the area of the trapezoid?

Answers

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Answer: 440 ft^2

Explanation:

I hope this helped!

<!> Brainliest is appreciated! <!>

- Zack Slocum

*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆**☆*――*☆*――*☆*――*☆

Answer:

488

Step-by-step explanation:

first,you have to add both of the bases.

39+17=56

then, you have to divide it by 2

56÷2=28

lastly, you have to multiply it by the height

28×16=448

hope this helps

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