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Reika [66]
3 years ago
13

Of 5 Sarah, Fiona and David share £40 in a ratio 3:3:2. How much money does each person get?​

Mathematics
2 answers:
Olin [163]3 years ago
6 0

Answer:

15

15

10

Step-by-step explanation:

3/8 x £40 = £15 for Sarah

3/8 x £40 = £15 for Fiona

2/8 x£40 = £10 for david

Bas_tet [7]3 years ago
4 0

Answer:

Sarah gets \frac{3}{8} × 40 = £15

Fiona gets \frac{3}{8} × 40 = £15

David gets \frac{2}{8} × 40 = £10

Step-by-step explanation:

If £40 is shared between three person in the ratio of 3:3:2 then calculate the amount each person gets.

To find the amount each person gets we are goin to change the ratios of each person into fractions.

To turn to fraction add all portions in the ratio:

3 + 3 + 2 = 8 (this will be the denominator for all proportions.)

Therefore Sarah gets \frac{3}{8}, Fiona gets \frac{3}{8} and David gets \frac{2}{8}.

Sarah gets \frac{3}{8} × 40 = £15

Fiona gets \frac{3}{8} × 40 = £15

David gets \frac{2}{8} × 40 = £10

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The correct option is A, which is {(5/7, 12/7)}.

<h2>Given to us,</h2>

equation 1, 5x + 2y = 7,

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<h3>substituting,</h3>

5x + 2(x+1) = 7\\5x+2x+2=7\\7x+2=7\\7x=7-2\\7x=5\\\\x= \dfrac{5}{7}

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Taking LCM,

y=\frac{5+(1\times 7)}{7}  \\y= \dfrac{12}{7}

Hence, the correct option is A, which is {(5/7, 12/7)}.

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