Question

sean has a goal to save $75 by the end of the summer. he has already saved $35, and is selling drawings he has made for $5 each. how many drawings does he need to sell to save exactly $75? let d be the number of drawings sean sells. start by writing an expression that represents the total amount of money sean has after selling d drawings.

Explanation:

Step1: Define the total amount

Let the total amount after selling \( d \) drawings be \( A \). The amount already saved is $35, and each drawing is sold for $5. So the expression for \( A \) is \( A = 35 + 5d \).

Step2: Set up the equation

We want \( A = 75 \), so we set up the equation \( 35 + 5d = 75 \).

Step3: Solve for \( d \)

Subtract 35 from both sides: \( 5d = 75 - 35 \)
\( 5d = 40 \)
Divide both sides by 5: \( d = \frac{40}{5} \)
\( d = 8 \)

Answer:

8