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three women earned a total of £36 they shared the £36 in a ratio 7:3:2 Donna receives the largest amount work out the amount Donna receives .​

2 Answers

7 votes

Answer:

£21

Explanation:

We know

Three women earned a total of £36. They shared the £36 in a ratio of 7:3:2. Meaning for every £12, one receives £7, one receives £3, and one receives £2.

Donna receives the largest amount working out the amount Donna receives.​ Meaning Donna receives £7.

To get from 12 to 36, we time 3.

We take

7 x 3 = £21

So, Donna receives £21

User Yuriy Zaletskyy
by
7.9k points
6 votes

By representing Donna's share as 7x, the second woman's share as 3x, and the third woman's share as 2x, and solving the equation, we find that Donna received £21 out of the total £36.

Let Donna's share be represented as 7x, the second woman's share as 3x, and the third woman's share as 2x. According to the given information, the total amount they earned is £36. The equation for this is:

7x + 3x + 2x = 36

Combine like terms:

12x = 36

Now, solve for x:

x = 36 / 12

x = 3

Now that we know the value of x, we can find Donna's share (which is 7x):

Donna's share = 7 * 3 = 21

Therefore, Donna received £21.

User Brinsley
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7.6k points