Question

The most common women's shoe size in the U.S. is reported to be an 8 1/2 A shoe store uses a table like the one below to decide how many pairs of size 8 1/2 shoes to buy when it places a shoe order from the shoe manufacturers.

total number of pairs od shoes being ordered number of pairs of size 8 1/2 to orfer
50 11
100 16
150 24
200 32



What is the ratio of the number of pairs of size 8 1/2 shoes the store orders to the total number of pairs of shoes being ordered?
A. 25:4
B. 4:46
C. 8:58
D. 4:25

Answer 1

The ratio of the number of pairs of size 8 1/2 shoes to the total number of pairs of shoes ordered, using the example from the order of 200 shoes, simplifies to 4:25, making the answer D. 4:25.

Step-by-step explanation:

To determine the ratio of the number of pairs of size 8 1/2 shoes the store orders to the total number of pairs of shoes being ordered, we use the table provided. According to the table, let's take the order of 200 pairs as an example:

• If the store orders 200 pairs in total and 32 of those are size 8 1/2, the ratio is 32 pairs of size 8 1/2 to 200 pairs in total.

To find the simplest form of this ratio, we divide both numbers by their greatest common divisor, which is 8. This simplification gives us:

• 32 ÷ 8 = 4
• 200 ÷ 8 = 25

Thus, the ratio of the number of pairs of size 8 1/2 shoes to the total number of pairs ordered is 4:25.

Therefore, the answer to the question is D. 4:25.