3 4 of a group of children are girls. 4 7 of the girls wear glasses. If there are 224 children in the group, how many girls wear glasses?
Out of the group of children, 3/4 are girls, which is 3/4 * 224 = 168 girls.
4/7 of the girls wear glasses, which is 4/7 * 168 = <<4/7*168=96>>96 girls. Answer: \boxed{96}.
To calculate the number of girls wearing glasses, we need to follow these steps:
Step 1: Calculate the number of girls in the group.
Given that 3/4 of the group are girls, we can calculate the number of girls using the following formula:
Number of girls = (3/4) × Total number of children
Number of girls = (3/4) × 224
Step 2: Calculate the number of girls wearing glasses.
Given that 4/7 of the girls wear glasses, we can calculate the number of girls wearing glasses using the following formula:
Number of girls wearing glasses = (4/7) × Number of girls
Now let's calculate the values:
Step 1: Number of girls = (3/4) × 224
Number of girls = (3/4) × 224
Number of girls = 3 × 56
Number of girls = 168
Step 2: Number of girls wearing glasses = (4/7) × Number of girls
Number of girls wearing glasses = (4/7) × 168
Number of girls wearing glasses = 4 × 24
Number of girls wearing glasses = 96
Therefore, there are 96 girls who wear glasses in the group.
To find out how many girls wear glasses, we need to follow a few steps:
Step 1: Calculate the total number of girls in the group.
Given that 3/4 of the group are girls, we can first find out the number of girls by multiplying the number of children in the group by the fraction of girls: 3/4 * 224 = 3 * 224 / 4 = 672 / 4 = 168.
So, there are 168 girls in the group.
Step 2: Calculate the number of girls who wear glasses.
Given that 4/7 of the girls wear glasses, we can find out the number of girls wearing glasses by multiplying the total number of girls by the fraction of girls who wear glasses: 4/7 * 168 = 4 * 168 / 7 = 672 / 7 = 96.
Therefore, there are 96 girls in the group who wear glasses.