Question

lisa 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.
$circ square x+square=square$
$circ square x - square=square$
(b) solve the equation in part (a) to find the number of t - shirts.
$x=square$

Explanation:

Step1: Select equation form

Profit = Total revenue - Expenses. Total revenue is $5x$, so the form is $\square x - \square = \square$.

Step2: Fill in values

Substitute 5 (per-shirt revenue), 22 (expenses), 83 (profit): $5x - 22 = 83$

Step3: Isolate the $x$-term

Add 22 to both sides: $5x - 22 + 22 = 83 + 22$
$5x = 105$

Step4: Solve for $x$

Divide by 5: $x = \frac{105}{5}$

Answer:

(a) $\boldsymbol{5x - 22 = 83}$ (select the $\square x - \square = \square$ form and fill with 5, 22, 83)
(b) $\boldsymbol{x = 21}$