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please can somebody explain how i would do this.

''a total of £36 is shared in a ratio of 7:3:2. Donna recieved the largest amount. How much did she recieve?''

2007-05-31 03:13:26 · 7 answers · asked by zenna_star 1 in Science & Mathematics Mathematics

7 answers

A ratio of 7:3:2 means there are 12 parts to be shared
(7 + 3 + 2 = 12)

One person gets 7 of the 12 parts
Another person gets 3 of the 12 parts
Another person gets 2 of the 12 parts

36/12 = 3 £ per part for each of the 12 parts

Donna receives the largest amount, which is 7 of the 12 parts.
(7)(3) = 21 £

2007-05-31 03:16:55 · answer #1 · answered by MamaMia © 7 · 0 0

As £36 is shared in a ratio of 7:3:2.
7+3+2=12
Then, 12 parts represent £36, one part represents 36/12=3
As Donna recieved the largest amount, which is 7,
3 x 7 = £21

2007-05-31 10:25:09 · answer #2 · answered by wiz8 2 · 0 0

the 7:3:2 ratio breakdown means there are 7+3+2 parts or 12 parts.

The 7 part is 7/12 of 36 or 21
the 3 part is 3/12 of 36 or 9
the 2 part is 2/12 of 36 or 6

21+9+6 = 36

so the largest amount is 21

2007-05-31 10:17:19 · answer #3 · answered by minorchord2000 6 · 0 0

A ratio of 7:3:2 means that it was split into 12 parts (7+3+2).

Each part is worth £3.

Donna received 7 parts or £21

(The other two parts were £9 and £6 respectively).

2007-05-31 10:16:26 · answer #4 · answered by dudara 4 · 0 0

First you need a "total" as reference, as in the above. (12) The first person gets (7/12)*36, the second (3/12)*36 and the third (2/12)*36.

2007-05-31 10:16:44 · answer #5 · answered by supastremph 6 · 0 0

total parts= 7+3+2= 12

donna's share= 7/12 x36
= 7x3
= $ 21

for any ratio question such as this, always determine the total parts and then divide the person's share (in this case, we know donn's to be the largest, which, here is 7) and multiply with the total amount

2007-05-31 10:20:09 · answer #6 · answered by clapofthunder 1 · 0 0

let d common ratio b x.
therefore, 7x+3x+2x=36 pounds.
0r, 12x= 36 pounds
or, x= 3

7x=7*3=21
3x=3*3=9
2x=3*2=6

donna recieved 21 pounds

2007-05-31 10:19:19 · answer #7 · answered by Diki 1 · 0 0

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