Question

Im really confused can somebody explain this?

Answer 1

Given:

The given ratio is
`16 : 12`

We need to determine three ratios that are equivalent to the given ratio.

Option A:
`8:6`

The given ratio is
`16 : 12`

Let us divide the given ratio
`16 : 12` by 2.

Thus, we have;

`8:6`

Hence, the expression
`8:6` is equivalent to
`16 : 12`

Thus, Option A is the correct answer.

Option B:
`32:24`

The number 32 goes by 16 in 2 times and the number 24 goes by 12 in 2 times.

Thus, multiplying the ratio
`16 : 12` by 2, we get;

`32:24`

Thus, the expression
`32:24` is equivalent to
`16 : 12`

Hence, Option B is the correct answer.

Option C:
`4:3`

Let us divide the given ratio
`16 : 12` by 4.

Thus, we have;

`4:3`

Thus, the expression
`4:3` is equivalent to
`16 : 12`

Hence, Option C is the correct answer.

Option D:
`12:8`

The number 12 goes by 16 in
`(3)/(4)` times and the number 8 goes by 12 in
`(2)/(3)` times.

The ratios are multiplied by different numbers.

Thus, the expression
`12:8` is not equivalent to
`16 : 12`

Hence, Option D is not the correct answer.

Option E:
`24:16`

The number 24 goes by 16 in 1.5 times and the number 16 goes by 12 in 0.75 times.

The ratios are multiplied by different numbers.

Thus, the expression
`24:16` is not equivalent to
`16 : 12`

Hence, Option E is not the correct answer.

Therefore, the equivalent ratios are Option A, B and C