Tanvi teaches art lessons at a day camp and needs to get supplies. She purchases 40 Bright Streak paint sets from the Color Splash art store. She uses a coupon she received in the mail for $10 off her purchase. Tanvi spends $310 in all.

Question

Which equation can you use to find p, the original price of each Bright Streak paint set?
What was the original price of each Bright Streak paint set?
$

Answer 1

To find the original price \( p \) of each Bright Streak paint set, we can set up the following equation based on the information given:

1. The total cost of 40 paint sets before the discount is \( 40p \).
2. Tanvi uses a coupon for $10 off her total purchase.
3. After applying the coupon, Tanvi spends a total of $310.

The equation can be set up as:

\[ 40p - 10 = 310 \]

Now, let's solve for \( p \):

1. Add 10 to both sides: \[ 40p = 310 + 10 \] \[ 40p = 320 \]

2. Divide both sides by 40 to solve for \( p \): \[ p = \frac{320}{40} \] \[ p = 8 \]

Thus, the original price of each Bright Streak paint set is \($8\).