Question

Laura sold t-shirts at a festival. She made $6 for each t-shirt she sold. Her expenses were $30. If she made a profit of $84, how many t-shirts did she sell?

(a) Write an equation that could be used to answer the question above.
First, choose the appropriate form. Then, fill in the blanks with the
numbers 6, 30, and 84. Let x represent the number of t-shirts.

Answer 1

The equation is:

`x=(Total\:Expenses+Profit)/(Cost\:of\:1\:shirt)`

Solving we get: Laura sold 19 shirts in the festival.

Explanation:

Cost of 1 shirt = $6

Total expenses = $30

Profit made = $84.

We need to write equations that helps in finding the number of t-shirts Laura sold.

Let x= represents number of t-shirts

Since profit was $84, and expense was $30

So, Total money earned = Total expense + Profit

Now, 1 shirt cost 6 dollars, so if we divide Total Money earned by 6 we can find x (the number of shirts sold)

Writing equation:

`\mathbf{x=(Total\:Expenses+Profit)/(Cost\:of\:1\:shirt)}`

Putting values we can find x

`x=(30+84)/(6)\\x=(114)/(6)\\x= 19`

So, Laura sold 19 shirts in the festival.