Question

Tara and Jack share a sum of money in the ratio 7: 8

Jack got £18 more than Tara.
How much did Tara receive?

Answer 1

Explanation:

Let's represent the amount of money Tara received by "7x", since the ratio of Tara's share is 7:8. Similarly, let's represent the amount Jack received by "8x".

We know that Jack received £18 more than Tara, so we can set up an equation:

8x - 18 = 7x

Solving for x, we get:

x = 18

Now we can find Tara's share by substituting x into our expression for Tara's share:

7x = 7(18) = £126

Therefore, Tara received £126.