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 30 Page 275

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

$ 30

Practice makes perfect

The sales price of the racket 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 30 % of x is the discount. We are told that the difference between the original price and this discount is $ 21. Original price_x-Discount_(x * 30 %) =Sales price_($ 21) Let's solve the resulting equation for x by combining the x- terms and using the Division Property of Equality.

x-x * 30 % = $21
x-x * 0.3 = $ 21
x- 0.3x = $ 21
0.7x = $ 21
0.7x/0.7 = $ 21/0.7
x= $ 21/0.7
x=$30

The original price of the racket is 30 dollars.