Stephen and Bridget win some money and share it in the ratio 5:2. Stephen gets £27 more than Bridget. How much did Bridget get?
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Step-by-step explanation:
Let the total money they win be x
So,
Stephen's share = X × 5/(5+2) = X × 5/7 = 5x/7
Similarly,
Bridget's share = X × 2/(5+2) = X × 2/7 = 2x/7
According to the question,
2x/ 7 + 27 = 5x/7
= 5x/7 - 2x/7 = 27
= (5x - 2x)/7 = 27
= 3x = 27 × 7
= x = 27 × 7/3
= x = 9 × 7
= x = 63
So the total amount they win = 63
&
Bridget's share = 2x/7 = 2 × 63/7 = 2 × 9 = #18
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