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Tanzania [10]
3 years ago
13

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.

Mathematics
1 answer:
Natalija [7]3 years ago
6 0

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:

9x=2x+80

Now let us solve for x.

9x-2x=80

7x=80

x=\frac{80}{7}

Now let us substitute x=\frac{80}{7} in 7x (amount of money that Egil gets).

\text{ Amount of money that Egil will get}=7\cdot \frac{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.    

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