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  3. Suzie’s Discount Footwear sells all pairs of shoes for one price and all pairs o

Suzie’s Discount Footwear sells all pairs of shoes for one price and all pairs o

游客2024-01-13  29
问题 Suzie’s Discount Footwear sells all pairs of shoes for one price and all pairs of boots for another price. On Monday the store sold 22 pairs of shoes and 16 pairs of boots for $650. On Tuesday the store sold 8 pairs of shoes and 32 pairs of boots for $760. How much more do pairs of boots cost than pairs of shoes at Suzie’s Discount Footwear?
选项 A、$2.50
B、$5.00
C、$5.50
D、$7.50
E、$15.00
答案 B
解析 One approach to this question is to set up the two equations and then eliminate one variable to solve for the other. If s represents the prices of shoes and b represents the price of boots, then 22s+16b=650 and 8s+32b=760. To eliminate b, multiply both sides of the first equation by 2 and then subtract the second equation from the modified first equation, and you get 44s-8s+32b-32b=1,300-760; therefore, 36s=540, and shoes cost $15. Plug this value into one of the equations and you get b=$20. $20-$15=$5.
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