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
[tex]\frac{80}{100}x=34\\0.80x=34[/tex]
Dividing both sides by 0.80
[tex]\frac{0.80x}{0.80}=\frac{34}{0.80}\\x=42.50[/tex]
The original price of sweater is $42.50
85% of y = 34
[tex]\frac{85}{100}y=34\\0.85y=34[/tex]
Dividing both sides by 0.85
[tex]\frac{0.85y}{0.85}=\frac{34}{0.85}\\y=40[/tex]
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
Learn more about subtraction at:
- brainly.com/question/10557938
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