Wells College in Aurora, New York was previously an all-girls college. In 2005, the college began to allow boys to enroll. By 2012, the ratio of boys to girls was 3 to 7. If there were 200 more girls than boys in 2012, how many boys were enrolled that year? Use a table, graph, or tape diagram to justify your answer.

b/(b+200) = 3/7

j

To solve this problem, let's first set up a table to organize the given information.

Table:

| Boys | Girls | Total
-------------------------------------
2005 | | |
2012 | | |

We know that in 2005, Wells College was an all-girls college, so there were no boys enrolled. Therefore, we can fill in the table as follows:

Table:

| Boys | Girls | Total
-------------------------------------
2005 | 0 | 1 | 1
2012 | | |

Next, we are given the ratio of boys to girls in 2012 as 3 to 7. This means that for every 3 boys, there are 7 girls. We can represent this in the table:

Table:

| Boys | Girls | Total
--------------------------------------
2005 | 0 | 1 | 1
2012 | 3 | 7 | 10

Finally, we are told that there were 200 more girls than boys in 2012. Let's add this information to the table:

Table:

| Boys | Girls | Total
--------------------------------------
2005 | 0 | 1 | 1
2012 | 3 | 7 | 10
Difference | -3 | +7 | +4

The difference column shows the difference between the number of boys and girls. In this case, there are 4 more girls than boys, which is equal to 200. Therefore, 4 is equal to 200, so 1 is equal to 200 divided by 4, which is 50.

Now, we can calculate the number of boys enrolled in 2012:

3 boys = 3 * 50 = 150 boys

Therefore, in 2012, there were 150 boys enrolled at Wells College.

In this solution, a table was used to organize the given information and track the calculations. By filling in the table and finding the difference between the number of boys and girls, we were able to determine the number of boys enrolled in 2012.