SOLUTION: Joey has $3.75 in his pocket. he has twice as many dimes as quarters and five more nickels than quarters. How many quarters does Joey have in his pocket

Question 1041165: Joey has $3.75 in his pocket. he has twice as many dimes as quarters and five more nickels than quarters. How many quarters does Joey have in his pocket
Found 2 solutions by solver91311, josmiceli:
Answer by solver91311(24713) (Show Source): You can put this solution on YOUR website!

Let represent the number of quarters. Then there are dimes and nickels.

The value of the quarters is cents. The value of the dimes is cents, and the value of the nickels is cents]. The total value of the money in his pocket is 375 cents. So

Solve for

John

My calculator said it, I believe it, that settles it

Answer by josmiceli(19441) (Show Source): You can put this solution on YOUR website!
There are 3 kinds of coins and 3 equations, so I
already know it can be solved
-------------------------
Let = number of dimes he has
Let = number of quarters he has
Let = number of nickels he has
----------------------------------
(1) ( in cents )
(2)
(3)
---------------------
Substitute (2) and (3) into (1)
(1)
(1)
(1)
(1)
(1)
and
(2)
(2)
(2)
and
(3)
(3)
(3)
------------------
He has 14 dimes, 7 quarters, and 12 nickels
------------------
check:
(1)
(1)
(1)
OK
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