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Susan sold 12 t-shirts and 8 sweatshirts for a fundraiser. The shirts cost $12.99 each.If Susan raised a total of $355.80, how much did each sweatshirt cost? Which system of equations can be used to find the cost of each sweatshirt (y) based on Susan's sales of t-shirts and sweatshirts?

A. 12x + 8y = 355.80 and 12 + 8 = 20
B. 12x + 8y = 20 and 12 + 8y = 355.80
C. 12 + 8y = 355.80 and 12x + 8 = 20
D. 12x + 20 = 8y and 8y + 355.80 = 12

1 Answer

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Final answer:

To find the cost of each sweatshirt, set up a system of equations using the given information. The correct system of equations is 12x + 8y = 355.80 and 12 + 8 = 20.

Step-by-step explanation:

To find the cost of each sweatshirt, we can set up a system of equations using the given information.

Let x be the cost of each t-shirt and y be the cost of each sweatshirt. We know that Susan sold 12 t-shirts and 8 sweatshirts for a total of $355.80.

So the first equation is 12x + 8y = 355.80. Additionally, we know that each t-shirt costs $12.99, so the second equation is 12x = 12.99 * 12.

The correct system of equations that can be used to find the cost of each sweatshirt is option A: 12x + 8y = 355.80 and 12 + 8 = 20.

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