The 10th-grade class officers ordered t-shirts and sweatshirts to sell as a fundraiser. each t-shirt weighed 1/2 of a pound, and each sweatshirt weighed 3/4 of a pound. the total weight of the contents of the box was 43 3/4 pounds. which equation written in standard form represents the number of t-shirts, t, and the number of sweatshirts, s, that were ordered?

2t + 3s = 175

Step-by-step explanation:

Let the number of t-shirt = x = t

and the number of sweatshirt = y = s

Each t-shirt weighed 1/2 of a pound.

Each sweatshirt weighed 3/4 of a pound.

The total weight of t-shirt =  pounds

The total weight of sweatshirt =  pounds

The total weight of the contents of the box = pounds

∴ The total weight of the contents = +

∴   + = =

multiply all sides by 4

∴

∴ 2x + 3y = 175

Or 2t + 3s = 175

So, The equation written in standard form represents the number of t-shirts, t, and the number of sweatshirts, s, that were ordered is 2t + 3s = 175

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