Question

Zoe is making a quilt using 15 red squares and 30 green squares. Which combination shows the same ratio of red squares to green squares?

a. 3 red squares to 6 green squares

b. 6 red squares to 3 green squares

c. 5 red squares to 12 green squares

d. 12 red squares to 5 green squares

Please include the work!

Answer 1

The answer is a 3 red square to 6 green square

Answer 2

Answer: A. 3 red squares to 6 green squares

Explanation:

Method 1) Find a common factor between 15 and 30. For this problem, I'll pick 5. Divide both numbers by this common factor.

15/5=3 red squares

30/5=6 green squares

3 red squares to 6 green squares

Method 2) Find the greatest common factor between 15 and 30. The GCF is 15. Divide both numbers by the GCF.

15/15=1

30/15=2

This leaves you with a ratio of 1 red square to 2 green squares. 1:2 is equivalent to 3:6

3 red squares to 6 green squares