A sum of money is divided amongst Farah, Shaiyara and Zahin in the ratio 10: 7: 5. If Shaiyara gets $20 more than Zahin, find the total sum of money shared and the amount
Farah gets.

Answers:

Explanation:

The money is divided in the ratio 10:7:5

This means that

for some positive real number x.

Since Shaiyara gets $20 more than Zahin, we can say,

S = Z+20

Let's plug in S = 7x and Z = 5x and solve for x

S = Z+20

7x = 5x+20

7x-5x = 20

2x = 20

x = 20/2

x = 10

Therefore,

The ratio F:S:Z becomes 100:70:50 which reduces fully to 10:7:5 after dividing all three parts by the GCF 10.

The total sum of money shared is 100+70+50 = 220 dollars and Farah gets $100 of that total.

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step-by-step explanation:

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1/4 because there is 4 grades.