School A has 480 students and 16 classrooms. School b has 192 students and 12 classrooms.
A. what is the ratio of students to classrooms at School A? 480:16
B. what is the ratio of students to classrooms at School B? 192:12
C. How many students would have to transfer from School A to School b for the ratios of students to classrooms at both schools to be the same? Explain your reasoning? Do I divide to get this answer.
If x students transfer,
(480-x)/16 = (192+x)/12
x = 96
989809
96
To find the number of students that would have to transfer from School A to School B for the ratios of students to classrooms at both schools to be the same, we need to compare the ratios of students to classrooms at both schools and find the difference.
Let's start by finding the ratio of students to classrooms at School A:
The ratio is given as 480:16, which means there are 480 students for every 16 classrooms.
Next, let's find the ratio of students to classrooms at School B:
The ratio is given as 192:12, which means there are 192 students for every 12 classrooms.
To make the ratios equal, we need to find the lowest common multiple (LCM) of the denominators (16 and 12), which is 48.
Divide this LCM by the denominator of the ratio for School A (16) to find the multiplier: 48 / 16 = 3.
Multiply both the numerator and denominator of the School A ratio by the multiplier (3): 480 * 3:16 * 3 = 1440:48.
Now, the ratio for School A is 1440:48.
By comparing the ratios of both schools, we can see that the ratio for School A (1440:48) is larger than the ratio for School B (192:12). This means that for the ratios to be equal, we need to decrease the number of students in School A and increase the number of students in School B.
To find the difference between the two ratios, subtract the ratio for School B from the ratio for School A:
1440 - 192 = 1248.
Therefore, we need 1248 students to transfer from School A to School B for the ratios of students to classrooms at both schools to be the same.
If x students transfer,
(480-x)/16 = (192+x)/12
x = 96