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2 years ago

9

A person has a bag containing quarters and dimes. There are a total of 72 coins in the bag, and the total value of the coins is

$13.20. Determine how many quarters and dimes are in the bag.

1 answer:

ipn [44]2 years ago

6 0

Answer:

40 quarters and 32 dimes

Step-by-step explanation:

<u>Given:</u>

Quarter = 25 ¢, number of quarters = q
Dime = 10 ¢, number of dimes = d
Total amount = $13.20 = 1320 ¢

<u>Required equations:</u>

q + d = 72
25q + 10d = 1320

<u>Solve by elimination, multiply the first equation by 10 and subtract from the second equation:</u>

25q + 10d - 10q - 10d = 1320 - 10*72
15q = 600
q = 600/15
q = 40

<u>Find p:</u>

40 + p = 72
p = 72 - 40
p = 32

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