Question

Wells College in Aurora, New York was previously an all-girls college. In 2005, the college began to allow boys to enroll. By 2019, the ratio of boys to girls was 3 to 7. If there was 200 more girls than boys in 2019, how many boys were enrolled that year? (Use a ratio table, graph, or tape diagram on next slide to justify your answer.) ​?

Answer 1

To find the number of boys enrolled in Wells College in 2019, we can set up an equation based on the given ratio and the given information about the difference in the number of girls and boys. Solving the equation, the number of boys enrolled in 2019 was 150.

Step-by-step explanation:

To find the number of boys enrolled in Wells College in 2019, we can use the given ratio of boys to girls, which is 3:7. Let's assume the number of boys is 3x and the number of girls is 7x.

According to the information given, there were 200 more girls than boys in 2019. So, we can set up the equation 7x = 3x + 200.

Solving this equation, we get 4x = 200, and dividing both sides by 4 gives us x = 50.

Therefore, the number of boys enrolled in 2019 was 3x = 3 * 50 = 150.