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Question
There are five wheat bags weighing 7 lb, 10 lb, 14 lb, 18 lb, and 19 lb. Four bags are sold to two customers, one buying twice the weight as of the other. What is the weight of the remaining bag of wheat?
There are five wheat bags weighing 7 lb, 10 lb, 14 lb, 18 lb, and 19 lb. Four bags are sold to two customers, one buying twice the weight as of the other. What is the weight of the remaining bag of wheat?
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Solution
The correct option is B 14
Let's say that one customer bought a total of x lb.
The other customer buys 2x lb.
The total amount purchased by them is, x + 2x = 3x lb
Hence, the customers purchase a total weight that is a multiple of 3.
Total weight of 5 bags = 68 lb
18 lb leaves no remainder when divided by 3.
68 leaves remainder 2 when divided by 3. Only 14 lb is another weight that leaves 2 as the remainder.
Also, 18 is completely divisible by 3.
Let's add the other values except 14 lb.
7 + 10 + 18 + 19 = 54 lb, which is divisible by 3.
The splits of weight for the first customer = 18 lb
The splits of weight for the second customer = 7 lb, 10 lb, and 19 lb
Hence,
Remaining weight = 68 - (18 + 36) = 14 lb
Let's say that one customer bought a total of x lb.
The other customer buys 2x lb.
The total amount purchased by them is, x + 2x = 3x lb
Hence, the customers purchase a total weight that is a multiple of 3.
Total weight of 5 bags = 68 lb
18 lb leaves no remainder when divided by 3.
68 leaves remainder 2 when divided by 3. Only 14 lb is another weight that leaves 2 as the remainder.
Also, 18 is completely divisible by 3.
Let's add the other values except 14 lb.
7 + 10 + 18 + 19 = 54 lb, which is divisible by 3.
The splits of weight for the first customer = 18 lb
The splits of weight for the second customer = 7 lb, 10 lb, and 19 lb
Hence,
Remaining weight = 68 - (18 + 36) = 14 lb
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