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. Which equation can you use to find \( p \), the original price of each Bright Streak paint set? \( 40 p-10=310 \) \( 40(p-40)=310 \) \( 10 p-40=310 \) What was the original price of each Bright Streak paint set?

To find the original price of each Bright Streak paint set, we can set up an equation based on the given information. Let's denote the original price of each Bright Streak paint set as \( p \). We know that Tanvi purchased 40 Bright Streak paint sets and used a coupon for $10 off her purchase. Therefore, the total amount she spent is $310. The equation representing this situation is: \[ 40p - 10 = 310 \] Now, we can solve this equation to find the original price of each Bright Streak paint set. Solve the equation by following steps: - step0: Solve for \(p\): \(40p-10=310\) - step1: Move the constant to the right side: \(40p=310+10\) - step2: Add the numbers: \(40p=320\) - step3: Divide both sides: \(\frac{40p}{40}=\frac{320}{40}\) - step4: Divide the numbers: \(p=8\) The solution to the equation \(40p - 10 = 310\) is \(p = 8\). Therefore, the original price of each Bright Streak paint set is $8.