Question

from unit 4, lesson 12
here are the prices for movie posters at a theater:
poster size | price in dollars
small | 11.60
medium |
large | 16.25
a. you have a coupon that makes the price of a large poster $13.00. for what percent off is the coupon?
b. your friend buys a medium poster for $10.31 with a 30% off coupon. what is the price of a medium poster without a coupon?
c. your friend has a 15% off coupon and $10. what is the largest poster that your friend can afford, and how much money will be left over after the purchase?

Explanation:

Step1: Calculate discount amount

$\$16.25 - \$13.00 = \$3.25$

Step2: Find percent off

$\frac{3.25}{16.25} \times 100\% = 20\%$

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Step1: Define original price as $x$

Let original medium price = $x$

Step2: Set up discounted price equation

$x \times (1 - 0.30) = 10.31$

Step3: Solve for $x$

$x = \frac{10.31}{0.70} = \$14.73$

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Step1: Calculate discounted small price

$\$11.60 \times (1 - 0.15) = 11.60 \times 0.85 = \$9.86$

Step2: Calculate discounted medium price

$\$14.73 \times (1 - 0.15) = 14.73 \times 0.85 \approx \$12.52$

Step3: Calculate leftover money

$\$10.00 - \$9.86 = \$0.14$

Answer:

a. 20%
b. $\$14.73$
c. The largest poster is small, with $\$0.14$ left over.