The student council at Douglass High School is selling shirts for spirit week. So far, they have sold 58 long-sleeve shirts: 24 on Monday and 34 on Tuesday. Short-sleeve shirts have been less popular: they sold 18 of them on Monday and 25 on Tuesday. The student council earned $480 on Monday and $675 on Tuesday.
24x+18y=480
34x+25y=675
Now solve the system of equations you selected. What is the price of a long-sleeve shirt?

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raphealnwobi raphealnwobi · Answer 1 · 2022-04-25T12:43:11+02:00

The student council sold long sleeve shirts for $12.50 and short sleeve shirts for $10.

An equation is an expression that shows the relationship between two or more numbers and variables.

Let x represent the cost of long sleeve and y represent the cost of short sleeve, hence:

24x + 18y = 480 (1)

Also:

34x + 25y = 675 (2)

From both equations:

x = 12.5, y = 10

The cost of long sleeve shirts was $12.50 while short sleeve was $10 each.

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