Step-by-step 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:
[tex]9x=2x+80[/tex]
Now let us solve for x.
[tex]9x-2x=80[/tex]
[tex]7x=80[/tex]
[tex]x=\frac{80}{7}[/tex]
Now let us substitute [tex]x=\frac{80}{7}[/tex] in 7x (amount of money that Egil gets).
[tex]\text{ Amount of money that Egil will get}=7\cdot \frac{80}{7}[/tex]
Upon cancelling out 7 from numerator and denominator we will get,
[tex]\text{ Amount of money that Egil will get}=80[/tex]
Therefore, Egil will get $80.
