A grade has 81 girls and 72 boys. the grade is split into groups that have the same ratio of girls to boys as the whole grade. how many girls are in a group that has 16 boys? 81:72, x:x, x:16

There are 18 girls in a group that has 16 boys.

Step-by-step explanation:

1. Let's review the information given to us for solving the question:

Number of girls in the grade = 81

Number of the boys in the grade = 72

Number of students in the grade = 81 + 72 = 153

2. Let's find the number of girls in a group that has 16 boys.

For getting that number we will use the Rule of three simple, this way:

Number of girls in a group that has 16 boys = (81 * 16) / 72

Number of girls in a group that has 16 boys = 1,296 / 72

Number of girls in a group that has 16 boys = 18

There are 18 girls in a group that has 16 boys.