Question

Mason and Laney ran laps to train for the long-distance running team. The ratio of the number of laps Mason ran to the number of laps Laney ran was 2 to 3.

a. If Mason ran 4 miles, how far did Laney run? Draw a tape diagram to demonstrate how you found the answer.
b. If Laney ran 930 meters, how far did Mason run? Draw a tape diagram to determine how you found the answer.
c. What ratios can we say are equivalent to 2: 3?

Answer 1

A. 6 miles

B. 620 meters

C.
`(4)/(6)\\ \\(620)/(930)\\ \\(8)/(12)`

Explanation:

The ratio of the number of laps Mason ran to the number of laps Laney ran was 2 to 3.

A. If Mason ran 4 miles, then one lap is
`4:2=2` miles long and Laney ran
`2\cdot 3=6` miles.

The diagram is attached.

B. If Laney ran 930 meters, then one lap is
`930:3=310` meters long. Thus, Mason ran
`310\cdot 2=620` meters.

The same diagram is true.

C. Equivalent ratios ti the ratio 2:3 are

`(4)/(6)\\ \\(620)/(930)\\ \\(8)/(12)`