jo jo has a total amount of $12.45 in quarters and dimes in his pocket. he has a total of 60 coins. how many quarters and dimes does jo jo have?
a. 42 quarters and 18 dimes b. 43 quarters and 17 dimes
c. 44 quarters and 16 dimes d. 41 quarters and 19 dimes
e. 40 quarters and 20 dimes
NEED ANSWERED ASAPP!!!
Answers
Given:
Total number of coins (Quarters and dimes) = 60
Total amount = $12.45
To find:
The number of quarters and dimes.
Solution:
Let x be the number of quarters and y be the number of dimes.
We know that,
1 quarter = 0.25 dollar
1 dime = 0.10 dollar
Total coins: [tex]x+y=60[/tex] ...(i)
Total amount: [tex]0.25x+0.10y=12.45[/tex] ...(ii)
From (i), we get
[tex]y=60-x[/tex] ...(iii)
Putting this value in (ii), we get
[tex]0.25x+0.10(60-x)=12.45[/tex]
[tex]0.25x+6-0.10x=12.45[/tex]
[tex]0.25x-0.10x=12.45-6[/tex]
[tex]0.15x=6.45[/tex]
Divide both sides by 0.15.
[tex]x=\dfrac{6.45}{0.15}[/tex]
[tex]x=43[/tex]
Putting x=43 in (iii), we get
[tex]y=60-43[/tex]
[tex]y=17[/tex]
So, the number of quarters is 43 and the number of dimes is 17.
Therefore, the correct option is b.
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