Question

A sum of money is divided among three girls, Rheanna, Kerisha and Anne, in the ratio 2:3:7, respectively. If Anne gets $15
more than Kerisha, what is the value of the total sum that was shared?

Answer 1

Using proportions, it is found that the value of the total sum that was shared was of $45.

What is a proportion?

A proportion is a fraction of a total amount, and the measures are related using a rule of three.

Considering the rates, Anne's and Kerisha's proportions, out of the total value N, are given by:

• $A = \frac{7}{2 + 3 + 7}N = \frac{7N}{12}$

• $K = \frac{3}{2 + 3 + 7}N = \frac{3N}{12}$

The difference is of $15, hence:

$A - K = 15$

$\frac{7N}{12} - \frac{3N}{12} = 15$

$\frac{4N}{12} = 15$

$\frac{N}{3} = 15$

N = 15 x 3 = 45

More can be learned about proportions at https://brainly.com/question/24372153

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