Question

A piggy bank contains only nickels, dimes, and quarters. Given the following information, determine the equations that will help you find how many of each type of coin are in the bank:

• The coins total $4.50
• There are 32 coins in the bank
• The number of nickels and dimes together is 8 more than the number of quarters

Which set of equations represents this situation?

a) 0.08n + 0.12d + 0.25q = 4.50, n + d + q = 32, n + d = q + 8
b) 0.05n + 0.10d + 0.25q = 4.50, n + d + q = 32, n + d = q + 8
c) There is no way to create this system of equations.
d) 0.05n + 0.10d + 0.26q = 4.50, n + d + q = 32, n + d = q + 8

Answer 1

b) 0.05n + 0.10d + 0.25q = 4.50, n + d + q = 32, n + d = q + 8. The set of equations that represents this situation is: 0.05n + 0.10d + 0.25q = 4.50, n + d + q = 32, n + d = q + 8.

Step-by-step explanation:

The set of equations that represents this situation is:

0.05n + 0.10d + 0.25q = 4.50

n + d + q = 32

n + d = q + 8

Where n represents the number of nickels, d represents the number of dimes, and q represents the number of quarters in the bank.

These equations represent the total value of the coins, the total number of coins, and the relationship between the number of nickels, dimes, and quarters.