Question

the ratio in an equivalent ratio are 3:12,4:16 and 5:20. if the first number in the ratio is 10, what is the second number ? justify reasoning

Answer 1

the second number = 40

Step-by-step explanation:

The given ratios: 3:12,4:16 and 5:20

when we break them to simplest form:

3:12 = 1: 4

4:16 = 1: 4

5:20 = 1: 4

This means the second number is four times the first number

if the first number = 10

the second number = 4 times 10 = 4 × 10

the second number = 40

To check: when we break down 10:40 to simplest form, we must get 1: 4 (equivalent ratio)

10: 40 = 1: 4

Therefore, the second number = 40