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Carol, whose pocket money is 2/5 that of Brenda, says, 'The ratio of my pocket money to that of Alice is 4 : 13.' If the total pocket money they have is USD 81, how much does Brenda have? 

Carol, whose pocket money is 2/5 that of Brenda, says, 'The ratio of my pocket money to that of Alice is 4 : 13.' If the total pocket money they have is USD 81, how much does Brenda have?  Correct Answer USD 30

Given-

Carol's pocket money = 2/5 of Brenda

Ratio of pocket money of Carol and Alice = 4 : 13

Total pocket money = USD 81

Concept Used-

Concept of Ratio and Proportion

Calculation-

Carol's pocket money = 2/5 of Brenda's money

Ratio of pocket money of Brenda and Carol = 5 : 2

⇒ 10 : 4

Ratio of pocket money of Carol and Alice = 4 : 13

Ratio of pocket money of Brenda,Carol and Alice = 10 : 4 : 13

Let their pocket money be 10x, 4x and 13x

According to Question-

10x + 4x + 13x = 81

10x = 30

∴ The money Brenda have is USD 30.

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