Multiple choice

Three friends, Sam, Michael and Puma went to a restaurant for lunch. Sam had \$100 with him, Michael had \$60 and Puma had \$40. They got a bill for \$104 and paid $16 as tip. They shared the total expenses in the ratio of the amounts of money each carried. If A is the difference between amount of money paid by Sam and Michael, and B is the difference between amount of money paid by Michael and Puma, then find the value of A : B.

  1. 3 : 2

  2. 2 : 1

  3. 1 : 2

  4. 5 : 3
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

Total money = 100+60+40 = 200. Total cost = 104+16 = 120. Ratio of contribution is 100:60:40 = 5:3:2. Total parts = 10. Each part = 120/10 = 12. Sam pays 5*12=60, Michael 3*12=36, Puma 2*12=24. A = 60-36=24. B = 36-24=12. A:B = 24:12 = 2:1.

AI explanation

The total amount spent is the sum of the bill and the tip, which is 104 + 16 = 120. Since the amount carried by Sam, Michael and Puma is in the ratio 100 : 60 : 40, or 5 : 3 : 2, the total expenses are shared in this same ratio. The difference between the ratios of Sam and Michael is 5 - 3 = 2, and the difference between the ratios of Michael and Puma is 3 - 2 = 1. Therefore, the required ratio of the differences is 2 : 1.

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