Question

20 teachers have a cup of tea at break time. 2/5 of these teachers are women. 3/4 of the teachers had sugar in their tea, 3/5 of which were male. How many male teachers didn't have sugar?

Answer 1

To find the number of male teachers who didn't have sugar in their tea, we first need to determine the total number of teachers and the number of teachers who had sugar in their tea.

Step-by-step explanation:

To find the number of male teachers who didn't have sugar in their tea, we first need to determine the total number of teachers and the number of teachers who had sugar in their tea.

There are 20 teachers in total. Since 2/5 of them are women, the number of male teachers is 20 - (2/5 * 20) = 20 - 8 = 12.

Out of the 20 teachers, 3/4 had sugar in their tea, which means 3/4 * 20 = 15 teachers had sugar in their tea.

Since 3/5 of the teachers who had sugar were male, the number of male teachers who had sugar is 3/5 * 15 = 9. Therefore, the number of male teachers who didn't have sugar is 12 - 9 = 3.

Answer 2

3 male teachers didn't have sugar

Step-by-step explanation:

total number of male teachers = 3/5 x 20 = 12

3/4 of teachers have sugar, which is 15

3/5 of 15 = 9 (number of males who had sugar)

total number of males (12) minus number who had sugar (9) equals number of males who didn't have sugar (3)