Question

В магазине имелось 6 эмалированных баков емкостью 15, 16, 18, 19, 20 и 31 л. Двое купили 5 баков: один из них два, а второй - три бака, причем оказалось, что емкость первых двух баков вдвое меньше емкости трех баков, приобретенных вторым покупателем. Какой бак остался в магазине?

Answer 1

В магазине остался бак с емкостью 20

Answer 2

Problem Analysis

We are given that there are 6 enamel tanks in the store with capacities of 15, 16, 18, 19, 20, and 31 liters. Two buyers purchased a total of 5 tanks, with one buyer buying two tanks and the other buying three tanks. The capacity of the first buyer's two tanks is half the capacity of the three tanks purchased by the second buyer. We need to determine which tank is left in the store.

Solution

Let's analyze the given information step by step to find the solution.

1. Two buyers purchased a total of 5 tanks. - One buyer bought two tanks. - The other buyer bought three tanks.

2. The capacity of the first buyer's two tanks is half the capacity of the three tanks purchased by the second buyer. - Let's assume the capacity of the first buyer's two tanks is x liters. - The capacity of the second buyer's three tanks is 2x liters.

3. The total capacity of the tanks purchased by the two buyers is 5 tanks. - x + 2x = 5 - 3x = 5 - x = 5/3

4. We know the capacity of the first buyer's two tanks is x liters. - The capacity of the first buyer's two tanks is 5/3 liters.

5. We need to find the tank that is left in the store. - The total capacity of the tanks in the store is 15 + 16 + 18 + 19 + 20 + 31 = 119 liters. - The total capacity of the tanks purchased by the two buyers is 5/3 + 2(5/3) = 5 liters. - The capacity of the tank left in the store is 119 - 5 = 114 liters.

The tank that is left in the store has a capacity of 114 liters.

Answer

The tank that is left in the store has a capacity of 114 liters.