Question

8. myles had 103 coins in a jar - all nickels, dimes, and quarters. if the total value of the coins is $15
and he has three more quarters than dimes, use an inverse matrix to determine the number of
each type of coin.

Answer 1

If the total value of the coins is $15. The number of each type of coin is: 31 quarters, 72 dimes.

Number of each type of coin

Let D = number of dimes

Let Q = the number of quarters

Equations

d + q = 103

0.10d + 0.25q = 15  

d = 103 -q

0.10(103 -q) + 0.25q = 15

10.3 - 0.10q + 0.25q = 15

0.15q = 4.7

q=4.7/0.15

q=31 quarters

Substitute q into second equation

D+31=103

D=72 dimes

Therefore the number of each type of coin is: 31 quarters, 72 dimes.

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