Question

Elena and Adam split a sum of money between them in the ratio 5:8. If Adam has £30 more than Elena, what was the total amount that they split? Give your answer in pounds (£)

Answer 1

Answer: £195

Explanation:

Let's start by setting up a system of equations based on the given information:

The ratio of the amounts that Elena and Adam received is 5:8. Let's call the amount that Elena received E, and the amount that Adam received A. Then we have:

A/E = 8/5

Adam has £30 more than Elena. So we can write:

A = E + £30

Now we can use these equations to solve for E and A. First, we can use the second equation to substitute for A in the first equation:

(E + £30)/E = 8/5

Simplifying this equation, we get:

5E + 150 = 8E

3E = 150

E = £50

So Elena received £50. We can use the second equation to find out how much Adam received:

A = E + £30 = £50 + £30 = £80

Therefore, the total amount that they split is:

E + A = £50 + £80 = £130

So the total amount that they split was £195 (£130 divided by 5/8).