Question

A sum of money was to be shared among three friends, Ann, Betty and Catherine, in the ratio 2:5:8. If Betty received $225 more than Ann, evaluate the sum of money shared. (2 marks)​

Answer 1

Answer:

450

Step-by-step explanation:

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Answer 2

Given:

A sum of money was to be shared among three friends, Ann, Betty and Catherine, in the ratio 2:5:8. If Betty received $225 more than Ann, evaluate the sum of money shared.

To find:

The sum of money shared

Solution:

The ratio of the share of the 3 friends Ann, Betty and Catherine = 2 : 5 : 8

Let's say,

"2x" → Ann's share

"5x" → Betty's share

"8x" → Catherine's share

Betty received $ 225 more than Ann, so we can form the equation as,

$5x = 2x + 225$

$\implies 5x - 2x = 225$

$\implies 3x = 225$

$\implies x = 75$

Now,

Ann's share = $2x = 2 \times 75 = \bold{\ 150}$

Betty's share = $5x = 5 \times 75 = \bold{\ 375}$

Catherine's share = $8x = 8 \times 75 = \bold{\ 600}$

Therefore,

The sum of money shared among 3 friends is,

= [Ann's share] + [Betty's share] + [Catherine's share]

= 150 + 375 + 600

= $ 1125

Thus, the sum of money shared was → $ 1125.

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