Answer:
- 340 dimes and 232 quarters
Step-by-step 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
