Question

Which of the following ratios are equivalent to 8:2?

A 16:4
B 40:10
C 2:8
D 10:4
E 1:6
F 4:1

Answer 1

A, B, F

Explanation:

Well, to do this let's start by simplifying each of the ratios! If they can be simplified to 8:2 then they are a match

A: 16:4

Divide both sides by 2: 8:2 (This is an answer)

B: 40:10

Divide both sides by 5: 8:2 (This is also an answer)

C: 2:8

This one is not possible, because you would have to multiply the 2 by a whole number, and the 8 by a number less than one. Both have to be multiplied/divided by the same number.

D: 10:4

To get the 4 into a 2, we divide by 2. If we divide the 10 by 2 we get 5. Thus, this is not an answer.

E: 1:6

To get the 6 into a 2, we must divide it by 3. If we divide 1 by 3, we get a decimal, not 8.

F: 4:1

Multiply both sides by 2: 8:2 (This is our final answer)

Answer 2

The answer is A.
8 • 2 = 16
2 • 2 = 4