Question

Krutika and Natasha win some money and share it in the ratio 3:1. Krutika gets £52 more than Natasha. How much did Natasha get?

Answer 1

Explanation:

We know that Krutika’s share is three times Natasha’s because they are split in a 3:1 ratio. So we can say:

K=3N

We also know that Krutika’s share is £52 more than Natasha’s:

K= (N+£52)

Substituting what we know about K allows us to reduce the equation to one variable:

3N=N+£52

Clean that up by subtracting N from both sides, leaving us with variables only on one side of the equation.

2N=£52

Which means that we can divide both sides by two to get our answer.

N=£26.

So, of the original £104, Krutika got £78 and Natasha got £26.