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Tanvi teaches art lessons at a day camp and needs to get supplies. She purchases Bright Streak paint sets from the Color Splash art store. She uses a coupon she received in the mail for off her purchase. Tanvi spends in all.Which equation can you use to find , the original price of each Bright Streak paint set?Choices:(A) (B) (C) (D) What was the original price of each Bright Streak paint set?____
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Q. Tanvi teaches art lessons at a day camp and needs to get supplies. She purchases Bright Streak paint sets from the Color Splash art store. She uses a coupon she received in the mail for off her purchase. Tanvi spends in all.Which equation can you use to find , the original price of each Bright Streak paint set?Choices:(A) (B) (C) (D) What was the original price of each Bright Streak paint set?____
- Identify Equation: Identify the correct equation to represent the situation. Tanvi uses a coupon on her total purchase of paint sets, and the total cost after the coupon is . The equation should account for the original price of each paint set (), the number of sets (), and the discount ().
- Analyze Choices: Analyze the choices given:(A) : This equation doesn't make sense because it suggests multiplying by , which doesn't fit the context of the problem.(B) : This equation suggests that each paint set costs and there are sets, which correctly reflects the discount applied to each set.(C) : This equation suggests subtracting \$\(10\) from the total cost of \(40\) sets priced at \(p\) each, which correctly reflects the total discount.\(\newline\)(D) \(10p - 40 = 310\): This equation doesn't make sense in the context of the problem, as it doesn't correctly represent the number of items or the discount.
- Choose Correct Equation: Choose the correct equation from the choices. Option (C) \(40p - 10 = 310\) correctly represents the situation where the total cost of \(40\) paint sets at price \(p\) each, minus a \(\$10\) discount, equals \(\$310\).
- Solve for p: Solve the equation \(40p - 10 = 310\) for \(p\). First, add \(10\) to both sides to isolate the term with \(p\): \(\newline\)\(40p - 10 + 10 = 310 + 10\)\(\newline\)\(40p = 320\)\(\newline\)Next, divide both sides by \(40\) to solve for \(p\):\(\newline\)\(p = 320 / 40\)\(\newline\)\(p = 8\)
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