Q:

# Emily has a coupon for 20 percent off her purchase. She finds a backpack she likes on the discount rack. It's original price is $60, but everything on the rack comes with a 30 percent discount. Emily says, "thirty percent and twenty percent make fifty percent so ur will cost$30. Is emy correct?

Accepted Solution

A:
Answer: she is incorrectStep-by-step explanation:If Emily had a coupon for 20 percent off her purchase, this means that whatever she bought, the total amount would be reduced by 20%. She will be paying 80%She finds a backpack she likes on the discount rack. It's original price is $60, but everything on the rack comes with a 30 percent discount. This means that ordinarily,the amount she is meant to pay on the total goods she is buying is 30% lesser than$60. She will be paying 60 - (30/100 Γ60)60 - 0.3Γ60 = 60-18 = $42Since she has a 20% coupon on total cost of goods bought, she would be paying 42 - (20/100 Γ42)42 - 0.2Γ42= 42 - 8.4 =$33.6Therefore,If Emily says, "thirty percent and twenty percent make fifty percent so that her cost will be $30. She is incorrect. Her cost is$33.6