Question

Your piggy bank contains quarters and dimes. There are 572 coins in the piggy bank totaling $92. How

many quarters and dimes are in the piggy bank

Answer 1

• 340 dimes and 232 quarters

Explanation:

Let the number of dimes be x and quarters be y.

• Dime = 10 cents, quarter = 25 cents, total amount is $92 = 9200 cents

We have equations:

• x + y = 572
• 10x + 25y = 9200

Multiply the first equation by 10 and subtract from the second one:

• 10x + 25y - 10x - 10y = 9200 - 5720
• 15y = 3480
• y = 3480/15
• y = 232

Find the value of x:

• x + 232 = 572
• x = 572 - 232
• x = 340