Answer:
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 = [tex]\frac{1}{2} x[/tex] pounds
The total weight of sweatshirt = [tex]\frac{3}{4} y[/tex] pounds
The total weight of the contents of the box = [tex]43\frac{3}{4}[/tex] pounds
∴ The total weight of the contents = [tex]\frac{1}{2} x[/tex] + [tex]\frac{3}{4} y[/tex]
∴ [tex]\frac{1}{2} x[/tex] + [tex]\frac{3}{4} y[/tex] = [tex]43\frac{3}{4}[/tex] = [tex]\frac{4*43+3}{4} = \frac{175}{4}[/tex]
multiply all sides by 4
∴ [tex]4 * \frac{1}{2} x + 4 * \frac{3}{4} y = 4 * \frac{175}{4}[/tex]
∴ 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
