Question

The ratio of two quantities is 5:6 . If the antecedent be 45 .find the consequent​

Answer 1

Final Answer:

The consequent​ where the ratio of the two quantities is 5:6 and the antecedent is 45, is 54.

Given:

The ratio of the two quantities is said to be 5:6.

The antecedent here is 45.

To Find:

The consequent​ where the ratio of the two quantities is 5:6 and the antecedent is 45, is to be calculated.

Explanation:

The concept of ratio helps figure out the solution to this problem.

• The ratio is the unitless entity that compares two or more physical quantities expressed in the same unit of measurement.
• When the first component obtained from the ratio of two quantities is called the antecedent, the second component obtained from the ratio of two quantities is called the consequent.

Step 1 of 3

As per the given statement in the problem, assume that the proportionality constant of the ratio 5:6 of the two quantities is k.

• The antecedent from the ratio is $=5k$.
• The consequent from the ratio is $=6k$.

Step 2 of 3

Using the information in the given problem, deduce and solve this equation.

$5k=45\\k=\frac{45}{5} \\k=9$

Step 3 of 3

In continuation with the above calculations derive the consequent in the following way.

$6k\\=6\times 9\\=54$

Therefore, the required correct answer is the consequent of value 54.

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