Question

Prove that 3:8 is equivalent to 12:32.

a.use diagrams to support your answer.
b.use the description of equivalent ratios to support your answer.

Answer 1

Answer: with Step-by-step explanation:

We are given that two ratios are 3:8 and 12:32

We have to find the given two ratios are equivalent

`12=3* 4`

`32=8* 4`

When two ratios a:b and c:d are equivalent then there exist x such that

c=ax and d=bx

Therefore, there exist 4 such that 12=4 times 3 and 32=4 times 8

Hence, the two ratios are equivalent.

Hence, proved.

Answer 2

3:8 = 12:32

For easier understanding, we make 3:8 into 3/8 and 12:32 into 12/32

3/8 = 12/32

Cross multiply
3*32 = 8*12
96 = 96

Since the products are equal, the ratios are equivalent.

You can also simplify 12:32
12 / 4 = 3
32 / 4 = 8