Question

(a) Write an equation that could be used to answer the question above.First, choose the appropriate form. Then, fill in the blanks with thenumbers 5, 40, and 125. Let x represent the number of t-shirts.[x+ ="So lx-1=0ndty(b) Solve the equation in part (a) to find the number of t-shirts.tyX =d

Answer 1

He made a total profit of $125 and made $40 from the whole hats and made $5 per t-shirt.

We're asked to use x to represent the units of t-shirts sold.

Thus, if we're to represent this mathematically, we have

$(5x + 40) = $125 where

$125 = total profit made

$40 = Profit on hat

$5x = Profit on x t-shirt when a profit on one t-shirt is $5

Therefore, Profit equation is 5x + 40 = 125

To then solve for x, we subtract 40 from both sides of the profit equation.

5x = 125 - 40

5x = 85

to get x, we divide both sides by 5

`\begin{gathered} (5x)/(5)=(85)/(5) \\ x\text{ =17 t-shirts} \end{gathered}`

Therefore, x = 17 t-shirts