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A collection of dimes and quarters is worth $15.25. There are 103 coins in all. How many of each is there?

User Pardahlman
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1 Answer

6 votes

Answer:

33 quarters

Explanation:

Let D = number of dimes; Q = the number of quarters

Realize that: $ = (dollars/coin)*(number of coins)


Given: $0.10*D + $0.25*Q = $15.25 (eq1)

D + Q = 103 (eq2)


Using elimination method to eliminate D (because we want to find Q):

10*D + 25*Q = 1525 (use eq1; multiply by 100; divide by $1)

10*D + 10*Q = 1030 (use eq2; multiply by 10)

---------------------------------

15*Q = 495 (subtract equations)

Q = 33 (divide both sides by 15)

User Beier
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