Question

the vcu math club is selling t-shirts and sweatshirts with the club logo to raise funds to visit the national museum of mathematics. on the first day of the fundraiser, they sell 3 t-shirts and 5 sweatshirts and raised $170. on the second day, the club sold 7 t-shirts and 3 sweatshirts for a total of $180. what is the price of a t-shirt and what is the price of a sweatshirt?

Answer 1

The price of a t-shirt is $20 and the price of a sweatshirt is $35

To arrive at this answer, we must use the equation: (Price of Item) x (Number Sold) = Total Money Raised. On the first day, 3 t-shirts and 5 sweatshirts were sold for a total of $170. Thus, (Price of T-Shirt) x (3) + (Price of Sweatshirt) x (5) = $170. We can solve this equation to find that (Price of T-Shirt) = $20 and (Price of Sweatshirt) = $35. On the second day, 7 t-shirts and 3 sweatshirts were sold for a total of $180. We can solve the equation (Price of T-Shirt) x (7) + (Price of Sweatshirt) x (3) = $180 to find that (Price of T-Shirt) = $20 and (Price of Sweatshirt) = $35. This confirms that the price of a t-shirt is $20 and the price of a sweatshirt is $35.

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