A store has a sale of a fixed number of shirts, during two consecutive days. In the first day, the store sells half of the shirts, and in the second day it sells one third of the remaining shirts. What fraction of the initial number of shirts is left in the store after the two days?

1/6

1/4

1/3

1/2

Question

Mathematics

Jayleen Richmond

3 April, 00:50

A store has a sale of a fixed number of shirts, during two consecutive days. In the first day, the store sells half of the shirts, and in the second day it sells one third of the remaining shirts. What fraction of the initial number of shirts is left in the store after the two days?

1/6

1/4

1/3

1/2

+4

Answers (1)

Know the Answer?

Dylan Short · Answer 1

Answer: the fraction is 1/3

Step-by-step explanation:

The initial number of shirts in the store is taken as 1.

On the first day, the store sells half of the shirts. This means that the number of shirts sold on the first day is 1/2. The remaining number if shirts is

1 - 1/2 = 1/2

On the second day it sells one third of the remaining shirts. This means that the number of shirts sold on the second day is 1/3 * 1/2 = 1/6

The fraction of the initial number of shirts is left in the store after the two days is

1/2 - 1/6 = 1/3

A store has a sale of a fixed number of shirts, during two consecutive days. In the first day, the store sells half of the shirts, and in the second day it sells one third of the remaining shirts. What fraction of the initial number of shirts is left in the store after the two days?1/61/41/31/2