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

Answer:

A. 6 miles

B. 620 meters

C. $\dfrac{4}{6}\\ \\\dfrac{620}{930}\\ \\\dfrac{8}{12}$

Step-by-step 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

$\dfrac{4}{6}\\ \\\dfrac{620}{930}\\ \\\dfrac{8}{12}$