Question

zachary has six times as many nickels as dimes and four times as many quarters as dimes. zachary has a total of ninety-nine nickels, dimes, and quarters. The total value of the coins is $12.60. How many of each coin does he have?

Answer 1

• nickels: 54
• dimes: 9
• quarters: 36

Explanation:

The ratio of nickels to dimes to quarters is given as ...

N : D : Q = 6 : 1 : 4

The total number of ratio units is 6 +1 +4 = 11. The total number of coins is given as 99, so each "ratio unit" must represent 99/11 = 9 coins. That is, the actual coin count ratios are ...

N : D : Q = 54 : 9 : 36

Zachary has 54 nickels, 9 dimes, and 36 quarters.

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Check

The value of the coins is ...

$0.05 × 54 +$0.10 × 9 +$0.25 ×36 = $2.70 +0.90 + 9.00 = $12.60