Nicole sold t-shirts at a festival and made a profit of $83. She made $5 for each t-shirt she sold. Her total expenses were $22. 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 83, 5, and 22. Let x represent the number of t-shirts.=+x=−x(b) Solve the equation in part (a) to find the number of t-shirts.=x
Question
Nicole sold t-shirts at a festival and made a profit of 5 for each t-shirt she sold. Her total expenses were $22. 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 83, 5, and 22. Let x represent the number of t-shirts.=+x=−x(b) Solve the equation in part (a) to find the number of t-shirts.=x
Solution
(a) The appropriate form of the equation would be: Profit = (Price per t-shirt * Number of t-shirts sold) - Expenses.
Filling in the blanks with the given numbers, we get: 83 = (5 * x) - 22.
(b) To solve the equation for x (the number of t-shirts), we first add 22 to both sides of the equation to isolate the term with x on one side. This gives us: 83 + 22 = 5x, or 105 = 5x.
Then, we divide both sides of the equation by 5 to solve for x: 105 / 5 = x, or x = 21.
So, Nicole sold 21 t-shirts at the festival.
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