SOLUTION: if there are 32 coins total and they are all dimes and quarters and add to 4.70 how many dimes and quarters are there

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Question 801757: if there are 32 coins total and they are all dimes and quarters and add to 4.70 how many dimes and quarters are there
Answer by Cromlix(4381) About Me  (Show Source):
You can put this solution on YOUR website!
Dimes = x
Quarters = y
x + y = 32 ......1
10x + 25y = 470.......2
Multiply Eq (1) by 25
25x + 25y = 800........3
10x + 25y = 470.......2
Subtract (2) from (3)
15x = 330
x = 22
Substitute x = 22 into
Equation(1)
x + y = 32
22 + y = 32
y = 10
22 dimes and 10 quarters.
Hope this helps.
:-)