Ruby has a goal to save $170 by the end of the summer. She has already saved $50, and is selling drawings she has made for $10 each. How many drawings does she need to sell to save exactly $170?

Question

Let d be the number of drawings Ruby sells. Start by writing an expression that represents the total amount of money Ruby has after selling d drawings.

Answer 1

To find out how much money Ruby has after selling \( d \) drawings, we start with the amount she has already saved and the money she earns from selling the drawings.

Ruby has already saved $50. Each drawing she sells earns her $10, so if she sells \( d \) drawings, her earnings from the drawings will be \( 10d \).

Thus, the total amount of money Ruby has after selling \( d \) drawings can be expressed as:

\[ \text{Total amount} = 50 + 10d \]

Now, to find out how many drawings she needs to sell to reach her goal of $170, we set up the equation based on her goal:

\[ 50 + 10d = 170 \]

From here, you can solve for \( d \) to find out how many drawings she needs to sell.