Envision Math 2.0: Grade 8, Volume 1
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Envision Math 2.0: Grade 8, Volume 1 View details
Review

Exercise 3 Page 149

First, calculate the price of the binder after discount. Then, call the original price of the calculator x and try to form an equation.

$120

Practice makes perfect
We are told that Justin bought a binder and a calculator that were both 15 % off the real price and spent a total of $107.27. We are asked to find the original price of the calculator knowing that the original price of the binder is $6.20. Let's call the original price of the calculator x. x=Original price of the calculator Since the discount was 15 % , Justin paid x dollars for the calculator minus the discount. Discounted Calculator:x-15 % * x Similarly, Justin paid $6.20 for the binder minus the discount, which is equal to 15 % * $6.20. Discounted Binder:6.20-15 % * 6.20 In total, Justin spent $107.27. We can write the following equation. Disc. Calculator+ Disc. Binder=107.27 ⇕ x-15 % * x+ 6.20-15 % * 6.20=107.27 Let's try to solve this equation!
x-15 %* x+6.20-15 %* 6.20=107.27
x-0.15* x+6.20-0.15* 6.20=107.27
x-0.15x+6.20-0.93=107.27
0.85x+5.27=107.27
â–Ľ
Solve for x
0.85x+5.27-5.27=107.27-5.27
0.85x=102
x=102/0.85
x=120
We found that the original price of the calculator x is equal to 120 dollars.