Question

Alan and Chad ran laps to train for the long-distance running team. The ratio of the number of laps Alan ran to the number of laps Chad ran was 3 to 4. If Alan ran 6 miles, how far did Chad run? Draw a tape diagram to demonstrate how you found the answer.

a. 4 miles
b. 8 miles
c. 9 miles
d. 12 miles

Answer 1

The distance Chad ran was 8 miles.option.b

Step-by-step explanation:

To find out how far Chad ran, we can use the given ratio of the number of laps Alan ran to the number of laps Chad ran, which is 3 to 4. Since we know that Alan ran 6 miles, we can set up a proportion to solve for the distance Chad ran.

Let's represent the distance Chad ran as x. We can set up the proportion as follows:

3/4 = 6/x

Cross multiplying gives us:

3x = 24

Dividing both sides by 3, we find:

x = 8

Therefore, Chad ran 8 miles.

In summary, using the given ratio and the distance Alan ran, we set up a proportion to find the distance Chad ran. By solving for x in the proportion, we found that Chad ran 8 miles.

correct option b. 8 miles