Question

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.

Answer 1

Answer:

• 40 quarters and 32 dimes

Step-by-step explanation:

Given:

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

Required equations:

• q + d = 72
• 25q + 10d = 1320

Solve by elimination, multiply the first equation by 10 and subtract from the second equation:

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

Find p:

• 40 + p = 72
• p = 72 - 40
• p = 32