Sixty people, half of whom were females, were asked if they liked yogurt. Thirty-two of the people, including two-fifths of all of the males, said that they did like yogurt. How many of the females didn't like yogurt?
2/5 of males = 2/5 * 30 = 12
That should help.
To determine how many females didn't like yogurt, we first need to find out the total number of females in the group.
We are given that half of the group are females, so we can calculate this by dividing 60 (total number of people) by 2:
60 / 2 = 30
Therefore, there are 30 females in the group.
Next, we know that 32 people in total said they liked yogurt. This includes two-fifths of all the males. To find out how many males there are, we can subtract the number of females from the total number of people:
60 - 30 = 30 males
We are told that two-fifths of the males said they liked yogurt. To find out how many males said they liked yogurt, we can multiply the number of males by the fraction:
30 * 2/5 = 12 males said they liked yogurt
Now, to calculate the number of females who didn't like yogurt, we subtract the number of males who liked yogurt from the total number of people who said they liked yogurt:
32 - 12 = 20 females who said they liked yogurt
Finally, to find out how many females didn't like yogurt, we subtract the number of females who said they liked yogurt from the total number of females:
30 - 20 = 10 females who didn't like yogurt
Therefore, there are 10 females who didn't like yogurt.