High School

Foot Friends uses the same type of leather for their men's and women's hiking boots.

During one week, the company used 290 ft² of leather to make 40 pairs of men's size 10 hiking boots and 60 pairs of women's size 7 hiking boots.

Another week, the company used 275 ft² of leather to make 50 pairs of men's size 10 hiking boots and 40 pairs of women's size 7 hiking boots.

How much leather is used to make 1 pair of men's size 10 hiking boots and 1 pair of women's size 7 hiking boots?

A. 7 ft² for men's size 10 boots, 4.75 ft² for women's size 7 boots
B. 6.5 ft² for men's size 10 boots, 5.5 ft² for women's size 7 boots
C. 5.75 ft² for men's size 10 boots, 6 ft² for women's size 7 boots
D. 6 ft² for men's size 10 boots, 5.75 ft² for women's size 7 boots

Answer :

Final answer:

To find out the amount of leather used to make 1 pair of men's size 10 hiking boots and 1 pair of women's size 7 hiking boots, we need to calculate the amount of leather used for each pair separately and then add them together.

Explanation:

To find out how much leather is used to make 1 pair of men's size 10 hiking boots and 1 pair of women's size 7 hiking boots, we need to calculate the amount of leather used for each pair of boots separately and then add them together.

First, we calculate the amount of leather used for men's size 10 hiking boots:

  1. During the first week, Foot Friends used 290 ft² of leather to make 40 pairs of men's size 10 hiking boots.
  2. So, the amount of leather used for 1 pair of men's size 10 hiking boots is 290 ft² / 40 pairs = 7.25 ft².

Next, we calculate the amount of leather used for women's size 7 hiking boots:

  1. During the first week, Foot Friends used 290 ft² of leather to make 60 pairs of women's size 7 hiking boots.
  2. So, the amount of leather used for 1 pair of women's size 7 hiking boots is 290 ft² / 60 pairs = 4.83 ft².

Therefore, the total amount of leather used to make 1 pair of men's size 10 hiking boots and 1 pair of women's size 7 hiking boots is 7.25 ft² + 4.83 ft² = 12.08 ft².

So, the correct answer is A. 7 ft² for men's size 10 boots, 4.75 ft² for women's size 7 boots.

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