Question 801757
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.
:-)