Question

Go to drama groups in a school in one group there 36 boys and 48 goals. In the other group 3/7 of the students are boys and the rest of the students are girls. I’m says the ratio of the number of boys to the number of girls is the same for both groups is incorrect you must show. How do you get your answer

Answer 1

The ratios of boys to girls in the two groups are different: Group 1 has a ratio of 3:4, while Group 2 has a ratio of 3:7 (implying 4:7 for girls). Therefore, the statement asserting equal ratios is incorrect.

Let's denote the number of boys in the second group as "b" and the number of girls as "g".

In the first group, there are 36 boys and 48 girls, so the ratio of boys to girls is 3:4.

In the second group, 3/7 of the students are boys, so the ratio of boys to total students is 3:7. This implies that the ratio of girls to total students is 4:7.

Now, let's compare the ratios of boys to girls in both groups:

Group 1: 3:4

Group 2: 3:7 (implies 4:7 for girls)

As you can see, the ratios are not the same. In Group 1, the ratio is 3:4, and in Group 2, it is 3:7. Therefore, the statement that the ratio of the number of boys to the number of girls is the same for both groups is incorrect.