27 students in a class. Ratio of boys to girls is 5 :4. How many of each gender and. Create a tape diagram for the problem

To determine the number of boys and girls in the class, we first need to find the total number of parts in the ratio. In this case, the ratio is 5:4, which means there are 5 + 4 = 9 parts in total. Next, we divide the total number of students (27) by the total number of parts (9) to find the value of one part. 27 students / 9 parts = 3 students per part Now, we can multiply the value of one part by the ratio to find the number of boys and girls. Number of boys = 5 parts * 3 students per part = 15 boys Number of girls = 4 parts * 3 students per part = 12 girls Therefore, there are 15 boys and 12 girls in the class. To create a tape diagram, we can represent the parts using rectangles or segments. Since the ratio is 5:4, we can divide the tape diagram into nine equal parts, with five parts representing boys and four parts representing girls. Each part will represent three students. Here's a visual representation of the tape diagram: Boys: [ ] [ ] [ ] [ ] [ ] Girls: [ ] [ ] [ ] [ ] Each rectangle represents three students. The five rectangles on the boys' side represent 5 * 3 = 15 boys, and the four rectangles on the girls' side represent 4 * 3 = 12 girls.