Question

Wells college 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 in enrolled that year

Answer 1

Answer:

150

Step-by-step explanation:

The ratio of boys to girls is 3 to 7.

We don't know the number of boys or girls. The number of boys and the number of girls are multiples of 3 and 7, respectively. Since they are in the ratio of 3 to 7, then by multiplying both 3 and 7 by the same number, you will get the number of boys and the number of girls. We need to find that number. Call that number x.

The ratio of boys to girls is:

3x to 7x

There are 3x boys and 7x girls.

The number of girls is 200 more than the number of boys.

7x = 3x + 200

Subtract 3x from both sides.

4x = 200

Divide both sides by 4.

x = 50

The number of boys is 3x, so

3x = 3(50) = 150

Answer 2

150 boys and 350 girls were enrolled that year.

Since a college was previously an all girls college, and then it began to allow boys to enroll, and by 2012 the ratio of boys to girls was 3 to 7, to determine, if there were 200 more girls than boys in 2012, how many boys were enrolled that year, the following cross multiplication calculation must be performed:

• 7 - 3 = 200
• 3 = X
• 4 = 200
• 3 = X
• 3 x 200/4 = X
• 600/4 = X
• 150 = X
• 150/3 = 50
• (150 + 200) / 3 = 50

Therefore, 150 boys and 350 girls were enrolled that year.

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