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?

• A. 7
• B. 14
• C. 18
• D. 19

Answer 1

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