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David and Tina share their profit in a ratio of 5:7. Tina gets £70 more than David. How much money did David receive?

User Medyas
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1 Answer

4 votes

Answer:

Amount of money David received = £ 175

Explanation:

Both of them share their profit in a ratio of 5:7 . Tina got £70 more than David. Let

the amount David received = a

amount Tina received = 70 + a

the total profit = 70 + 2a

Amount David received = 5/12 × 70 + 2a = a

Therefore,

5/12 × 70 + 2a = a

350 + 10a/12 = a

cross multiply

350 + 10a = 12a

collect like terms

350 = 12a - 10a

350 = 2a

divide both sides by 2

a = 350/2

a = 175

Amount of money David received = £ 175

User General Grievance
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