SOLUTION: The cost of a high-school ring is $145 for the large size and $115 for the regular. The total receipts from the sale of 120 rings was $15,060. How many rings were sold?

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Question 483547: The cost of a high-school ring is $145 for the large size and $115 for the regular. The total receipts from the sale of 120 rings was $15,060. How many rings were sold?
Answer by Tatiana_Stebko(1539) About Me  (Show Source):
You can put this solution on YOUR website!
Let x the large size rings
Let y the regular size rings
There were sold 120 rings, then x%2By=120
The total receipts from the sale of 120 rings was $15,060, so 145x%2B115y=15060
The system of equations
system%28x%2By=120%2C+145x%2B115y=15060%29
From the first equation y=120-x
Substitute into the second equation 145x%2B115%28120-x%29=15060
145x%2B13800-115x=15060
30x=1260
x=1260%2F30
x=42the large size rings were sold
y=120-42=78the regular size rings were sold