Big Ideas Math: Modeling Real Life, Grade 7
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Big Ideas Math: Modeling Real Life, Grade 7 View details
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Exercise 29 Page 275

Find the value of the discount by multiplying the original price by the discount rate.

$93.75

Practice makes perfect

The sales price is the original price minus the discount in dollars. Original price- Discount= Sales priceLet x be the original price. We can find the value of the discount by multiplying the original price by the discount rate. This means that that 20 % of x is the discount. We are told that the difference between the original price and this discount is $ 75. Original price_x-Discount_(x * 20 %) =Sales price_($ 75) Let's solve the resulting equation for x by combining the x-terms and using the Division Property of Equality.

x-x * 20 % = $75
x-x * 0.2 = $ 75
x- 0.2x = $ 75
0.8x = $ 75
0.8x/0.8 = $ 75/0.8
x= $ 75/0.8
x=$93.75

The original price is 93.75 dollars.