Question

David, Egil and Frances share money in the ratio 2:7:9. Frances gets ?80 more than David. Explain how you know Egil gets ?80.

Answer 1

Explanation:

We have been given that David, Egil and Frances share money in the ratio 2:7:9.

Let 2x, 7x and 9x be the amounts of money that David, Agil and Frances get respectively.

We are told that Frances gets $80 more than David. So we can write this information in an equation as:

`9x=2x+80`

Now let us solve for x.

`9x-2x=80`

`7x=80`

`x=(80)/(7)`

Now let us substitute
`x=(80)/(7)` in 7x (amount of money that Egil gets).

`\text{ Amount of money that Egil will get}=7\cdot (80)/(7)`

Upon cancelling out 7 from numerator and denominator we will get,

`\text{ Amount of money that Egil will get}=80`

Therefore, Egil will get $80.