Question

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?

Answer 1

Answer: 2t + 3s = 175

Step-by-step explanation: C on edg

Answer 2

2t + 3s = 175

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 =
`(1)/(2) x` pounds

The total weight of sweatshirt =
`(3)/(4) y` pounds

The total weight of the contents of the box =
`43(3)/(4)` pounds

∴ The total weight of the contents =
`(1)/(2) x` +
`(3)/(4) y`

∴
`(1)/(2) x` +
`(3)/(4) y` =
`43(3)/(4)` =
`(4*43+3)/(4) = (175)/(4)`

multiply all sides by 4

∴
`4 * (1)/(2) x + 4 * (3)/(4) y = 4 * (175)/(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