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? What was the original price of each Bright Streak paint set?
Q. 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? What was the original price of each Bright Streak paint set?
Set up the equation: Let's set up the equation. Tanvi's total spending after the discount is \$\(310\). If she bought \(40\) paint sets and used a \$\(10\) coupon, the equation to find the original price per set, \(p\), is: \(40p - 10 = 310\).
Solve for \(p\): Solve for \(p\). First, add \(10\) to both sides to isolate the term with \(p\): \(40p - 10 + 10 = 310 + 10\), which simplifies to \(40p = 320\).
Divide to find \(p\): Next, divide both sides by \(40\) to find \(p\): \(p = \frac{320}{40}\), which equals \(8\).
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