In an audience of adults and children, 1/6 of the audience are young boys and 1/3 are young girls. What percentage of the audience are children ?
(A) 66 2/3
(B) 50
(C) 40
(D) 37 1/2
(E) 33 1/3
not just answer
50%
Right.
1/3 = 2/6
2/6 + 1/6 = 3/6
What percentage is 3/6?
answer B
Yes.
how do you calculate??
To find the percentage of the audience that are children, we need to determine the proportion of the total audience that consists of children.
Let's start by calculating the proportions of young boys and young girls separately. We are given that 1/6 of the audience are young boys, which means that the ratio of young boys to the total audience is 1:6. To convert this ratio into a proportion, we divide the number of young boys by the total number of people in the audience:
Young boys proportion = 1 / 6 = 0.1667
Similarly, we know that 1/3 of the audience are young girls, which means that the ratio of young girls to the total audience is 1:3. To convert this ratio into a proportion, we divide the number of young girls by the total number of people in the audience:
Young girls proportion = 1 / 3 = 0.3333
Now, to find the combined proportion of young boys and young girls (i.e., the proportion of children), we need to add the two proportions together:
Children proportion = Young boys proportion + Young girls proportion
= 0.1667 + 0.3333
= 0.5
Finally, to express the proportion as a percentage, we multiply it by 100:
Children percentage = Children proportion * 100
= 0.5 * 100
= 50
Therefore, the percentage of the audience that are children is 50%. The answer is option (B) 50.