Question

Identify the value of x that makes each pair of ratios equivalent.

2. 5:15 and x:3
a.5
b.3
c.1

Answer 1

c.1

Explanation:

First, we must look at the two last ratio numbers of "5:15 and x:3".

This would be 15 and 3. 15 ÷ 3 = 5. So, now since the numbers were divided by 5, we then must divide the first digit (5) by 5.

5 ÷ 5 = 1

Therefore, 1 would be the correct answer.

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Answer 2

c.1

Explanation:

5: 15 x:3

a:b c:d The ratios have to stay in proportion. So if we multiply a and b by a certain number they will equal c and d. We just don't know what that number is yet. Call it something.

a* something = c and b* something =d

5 * something = x

15* something = 3

Solve for the unknown number we are multiplying by

Divide each side by 15

15/15 * something =3/15

something = 1/5

Now that we know what we are multiplying by, we can solve for x

So 5 * something = x

5* 1/5 = x

1 =x