Question

This table shows the ratio of cups of white paint to cups of blue paint. table This table shows equivalent ratios. Which ratio is equivalent to 1 to 8? 7 to 14 7 to 9 6 to 41 6 to 48

Answer 1

The correct answer is 6 to 48

Explanation:

1:8

1 x 6 = 6

8 x 6 = 48

Therefore 1:8 is equal to 6:48

Answer 2

1: 8 and 6:48 are equivalent.

Explanation:

One way to determine if two ratios are equivalent is to cross-multiply the terms in the ratio. If the cross products are equal, then the two reasons are equivalent.

The given ratio is 1:8. Let's look for the equivalent ratio, applying the rule mentioned:

`(1)/(8)(7)/(14)` ---> 1x14 = 14 and 8x7 = 56, are not equivalent

`(1)/(8)(7)/(9)` ---> 1x9 = 9 and 8x7 = 56, are not equivalent

`(1)/(8)(6)/(41)` ---> 1x41 = 41 and 8x6 = 48, are not equivalent

`(1)/(8)(6)/(48)` ---> 1x48 = 48 and 8x6 = 48, are equivalent

So, 1: 8 and 6:48 are equivalent.

Hope this helps!