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.
Good work!
Complete the equation to represent the amount of money Ruby wants to save.
10d+50 =
Nice!
Solve for the value of d. Solve on paper, or show your work below. Then enter your answer on Zearn.
10d+50
=
170

d
=
Great job!
What does your answer of 12 mean in this situation?
10d+50 = 170
d = 12

Ruby needs to sell 12 drawings in order to save $170.

Ruby needs to sell the drawings for $12 in order to save $170.

Ruby needs to make $12 more to save $170.
Excellent!
Let’s say that Ruby wants to save at least $170. Complete the statement to write an inequality that represents Ruby saving at least $170.
10d+50 = 170
d = 12

10d+50 170

Answer 1

To represent Ruby saving at least $170, we would set up the inequality like this:

\[ 10d + 50 \geq 170 \]

This means that the total amount of money Ruby has after selling her drawings (which is represented by \( 10d + 50 \)) should be greater than or equal to $170.

Now, let’s solve the inequality to find out the minimum number of drawings she needs to sell:

1. Start with the inequality: \[ 10d + 50 \geq 170 \]

2. Subtract 50 from both sides: \[ 10d \geq 120 \]

3. Divide both sides by 10: \[ d \geq 12 \]

So, the inequality tells us that Ruby needs to sell at least 12 drawings to save $170.