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The ratio of nickels to dimes to quarters in a sum of money is 3:4:5. What is the value of the money if there are 144 coins?

a) $93
b) $144
c) $172.80
d) $240

1 Answer

3 votes

Final answer:

To find the value of the money, calculate the number of each coin based on the given ratio and then calculate the total value.

Step-by-step explanation:

To find the value of the money, we first need to determine the value of each coin. Let's assign a value to the nickel, dime, and quarter. Since the ratio of nickels to dimes to quarters is 3:4:5, let's assign a value of $0.05 to the nickel, $0.10 to the dime, and $0.25 to the quarter.

Next, let's calculate the number of each coin based on the given ratio. Since there are 144 coins in total, we can calculate:

  • Nickels: 3/12 * 144 = 36 nickels
  • Dimes: 4/12 * 144 = 48 dimes
  • Quarters: 5/12 * 144 = 60 quarters

Finally, let's calculate the value of the money:

Total value = (Value of nickels * Number of nickels) + (Value of dimes * Number of dimes) + (Value of quarters * Number of quarters)

Total value = ($0.05 * 36) + ($0.10 * 48) + ($0.25 * 60) = $1.80 + $4.80 + $15.00 = $21.60

Therefore, the value of the money is $21.60.

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