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Three scientists A, B and C are working on certain projects simultaneously. One- third of the number of projects with A is equal to one-fifth of the number of projects with B, which is equal to one-seventh the number of projects with C. B is working on 90 projects. Find the number of projects A should undertake to make it equal to the number of projects with C.

Three scientists A, B and C are working on certain projects simultaneously. One- third of the number of projects with A is equal to one-fifth of the number of projects with B, which is equal to one-seventh the number of projects with C. B is working on 90 projects. Find the number of projects A should undertake to make it equal to the number of projects with C. Correct Answer 72

Given:

One- third of the number of projects with A is equal to one-fifth of the number of projects with B, which is equal to one-seventh the number of projects with C.

B is working on 90 projects.

Formula:

If the ratio of A and B is a ∶ b, assume A = ak and B = bk

Where k is a constant.

Calculation:

Let the number of projects with A, B and C be a, b and C respectively.

a/3 = b/5 = c/7

Let them be equal to a number k.

Then, a = 3k, b = 5k and c = 7k

B is working on 90 projects.

So, 5k = 90

⇒ k = 18

A = 3k = 54

C = 7k = 7 × 18 = 126

Projects A should take = 126 – 54 = 72

∴ The number of projects A should undertake to make it equal to the number of projects with C is 72 

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