Tape Diagrams Quick Check 5 of 55 of 5 Items Question Use the image to answer the question. A clothing store has pants and shorts for sale in a ratio of 4:3. If there are a total of 70 pants and shorts available for sale, how many of those are shorts? Responses 30 shorts 30 shorts - no response given 40 shorts 40 shorts - no response given 21 shorts 21 shorts - no response given 10 shorts 10 shorts - no response given Skip to navigation

Answer 1

To solve the problem, we can use the given ratio of pants to shorts, which is 4:3. This means for every 4 pants, there are 3 shorts.

1. Let the number of pants be represented as 4x and the number of shorts as 3x, where x is a common factor.

2. According to the problem, the total number of pants and shorts available is 70. Therefore, we can express this mathematically: \[ 4x + 3x = 70 \] \[ 7x = 70 \]

3. Now, solve for x: \[ x = 70 / 7 = 10 \]

4. Now, we can find the number of shorts: \[ \text{Number of shorts} = 3x = 3 \times 10 = 30 \]

Thus, the number of shorts available for sale is 30 shorts.