SOLUTION: the number of dimes and the number of quarters that erin has earned in tips are consecutive even integers. She has more quarters than dimes. The total value of her coins is $7.50.

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Question 1122495: the number of dimes and the number of quarters that erin has earned in tips are consecutive even integers. She has more quarters than dimes. The total value of her coins is $7.50.How many dimes and quarters does she have?
Found 2 solutions by ikleyn, josmiceli:
Answer by ikleyn(52867)   (Show Source): You can put this solution on YOUR website!
.
Let (2n) and (2*(n+1)) are the numbers of dimes and quarters, according to the condition.


Then your "money" equation is


10*(2n) + 25*(2*(n+1)) = 750   cents.


Simplify and solve for "n".


20n + 50n + 50 = 750,

70n = 750 - 50 = 700  ====>  n = 700/70 = 10.


Anser.  20 dimes and 22 quarters.

Solved.   //   Check the answer on your own.



Answer by josmiceli(19441)   (Show Source): You can put this solution on YOUR website!
Let = the number of dimes
= the number of quarters
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( in cents )



and

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She has 20 dimes and 22 quarters
Check:


OK
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