ed has 24 dimes and quarters worth $3.60.  HOw many quarters does ed have?
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2 Answers

ed has 24 dimes and quarters worth $3.60.  HOw many quarters does ed have?
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Ed has x dimes and y quarters, totaling 24 coins.  x + y = 24

Ed has $3.60.  360 = 10x +25y

x + y = 24

subtract y from both sides

x = 24 - y

substitute for x in the other equation

360 = 10x + 25y

360 = 10*(24-y) + 25y

solve for y

360 = 240 -10y + 25y

360 = 240 + 15y

120 = 15y

8 = y

solve for x

x + y = 24

x + 8 = 24

x = 16

Ed has 16 dimes ($1.60) and 8 quarters ($2.00) totaling $3.60.
by Level 13 User (103k points)

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