SOLUTION: Please helpppp!!!!! suppose the money box in a vending machine contains 146 coins consisting ofdimes and quarters. If the total value of coins in the box is $24.50, how many qu

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Question 28297: Please helpppp!!!!!
suppose the money box in a vending machine contains 146 coins consisting ofdimes and quarters. If the total value of coins in the box is $24.50, how many quarters are inside the box?
Answer by Paul(988) About Me  (Show Source):
You can put this solution on YOUR website!
Let number of dimes be x
Let number of quarters be y
x+y=146
y=146-x (subsitution)

Dime value x 100 = 10
Quarter value x 100 = 25
Total value x 100 = 2450

10x+25y=2450
10x+25(146-x)=2450
10x-25x+3650=2450
-15x=-1200
x=80

y=146-80
y=66

Hence, there were 80 dimes and 66 quarters.
Paul.