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angel2fresh
angel2fresh angel2fresh
  • 14-02-2017
  • Mathematics
Answered

jerry has 60 coins consisting of quarters and dimes. The coins combined value is $9.45. Find out how are quarters and how many are dimes.

Verified Answer :

bcalle
bcalle bcalle
  • 14-02-2017

Eq. 1 .10x + .25y = 9.45
Eq. 2 x + y = 60 rewrite as x = 60 - y and substitute into equation 1.

.10(60 - y) + .25y = 9.45
6 - .1y + .25y = 9.45
6 + .15y = 9.45
.15y = 3.45
y = 23
60 - 23 = 37

23 quarters
37 dimes


23 .25 = 5.75
37 .1 = 3.70
5.75 + 3.70 =9.45

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