A sweater is on sale for 20% off. A jacket is on sale for 15% off. The sale price for each item is $34.00. Which item cost more

Question

3 years ago

5

originally? By how much?

1 answer:

SashulF [63] · Answer 1 · 2022-02-23T15:45:09+03:00

The sweater cost more originally. It costs $2.50 more from jacket.

Step-by-step explanation:

Given,

Discount rate of sweater = 20%

Sale price of sweater = (100-20)% = 80%

Discount rate of jacket = 15%

Sale price of jacket = (100-15)% = 85%

Sale price of each item = $34.00

Let,

x be the original price of sweater.

y be the original price of jacket.

80% of x = 34

$\frac{80}{100}x=34\\0.80x=34$

Dividing both sides by 0.80

$\frac{0.80x}{0.80}=\frac{34}{0.80}\\x=42.50$

The original price of sweater is $42.50

85% of y = 34

$\frac{85}{100}y=34\\0.85y=34$

Dividing both sides by 0.85

$\frac{0.85y}{0.85}=\frac{34}{0.85}\\y=40$

The original cost of jacket is $40

Difference = 42.50 - 40 = $2.50

The sweater cost more originally. It costs $2.50 more from jacket.

Keywords: subtraction, division

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