Question

the ratios in an equivalent ratio table are 3:12, 4:16, and 5:20. If the first number in the rtio is 10, what is the second numer?

Answer 1

Answer:

40

Step-by-step explanation:

3:12 10:?

cross multiplication,

3×? = 12×10

3×? = 120

? = 120 ÷ 3

? = 40

Answer 2

Answer:

Step-by-step explanation:

Concept:

The ratio of two proportional values at a constant value is known as the constant of proportionality. When either their ratio or product results in a constant, two variables' values are said to be proportionally related. The ratio between the two stated quantities determines the value of the proportionality constant.

Solution:

The value of the second number in the ratio is 40.

Given that the ratios in the table are equivalent :

We can express the ratio as a proportion :

3 : 12

x α y

3 α 12

3 = 12k

Where, k = constant of proportionality

We can solve for k

Divide both sides by 12 in other to isolate k

3/12 = 12k/12 = 1/4 = k

Hence, k = 1/4

General form of the relationship in the table can be expressed as ; x = 1/4y = x = y/4

If first Number in the ratio is 10;

Then the ratio looks like :

10 : y

x = 10 ; to find y

x = y/4

10 = y/ 4

Multiply both sides 4

10 × 4 = (y/4) × 4

40 = y

Hence, the second number is 40.

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