Question

a clothing store sell sock in four sizes: small, medium, large and extra-large. The sizes are sold in the ratio of 3:5:2:1. If the store has an inventory of 253 sock how many are medium

Answer 1

To find the number of medium-sized socks, we need to calculate the number of socks in each size category using the given ratio. The number of medium-sized socks is approximately 115.

Step-by-step explanation:

To find the number of medium-sized socks, we need to calculate the number of socks in each size category. Let's assume the ratio of small, medium, large, and extra-large socks is 3x:5x:2x:1x, where x is a common factor. Adding up the ratios gives us a total of 3x + 5x + 2x + 1x = 11x. We are given that the total inventory is 253, so we can set up the equation 11x = 253 and solve for x.

11x = 253

x = 253/11

x ≈ 23

Now, we can find the number of medium-sized socks.

Number of medium-sized socks = 5x ≈ 5 * 23 = 115