Question 747038: Suppose Tom has 17 coins totaling $2.15. If he has only dimes and quarters, how many of each type does he have?
DIMES?
QUARTER? Answer by Cromlix(4381) (Show Source):
You can put this solution on YOUR website! Using x = dimes and y = quarters
x + y = 17 ...1
10x + 25y = 215 ...2
Multiply (1) by 10
10x + 10y = 170 ...3
10x + 25y = 215 ...2
Subtract (3) from (2)
15y = 45
y = 3
Substitute y = 3 in (1)
x + y = 17
x + 3 = 17
x = 17 - 3
x = 14
Therefore 14 dimes and 3 quarters
= $2.15
