Question

A private school admits no more than 100 students every year. Additionally at least 30 of these students must be girls, x, and the school admits at least as many girls as boys, y.

Answer 1

The equation to this word problem are:

x ≥ 30 ...... (1)

x ≥ y ...... (2)

x + y ≤ 100 ..... (3)

Explanation:

Here, the given question is INCOMPLETE.

A private school admits no more than 100 students every year. additionally, at least 30 of these students must be girls, x and the school admits at least as many girls as boys, y. What are the equation to this word problem.

Let us assume the number of girls admitted in the school = x

At least 30 of these students must be girls.

⇒ x ≥ 30 ...... (1)

Let us assume the number of boys admitted in the school = y

The school admits at least as many girls as boys.

⇒ x ≥ y ...... (2)

Also, TOTAL STUDENTS = No more than 100

So, Total Number of ( Boys + Girls) ≤ 100

⇒ x + y ≤ 100 ..... (3)

Hence, the the equation to this word problem are:

x ≥ 30 ...... (1)

x ≥ y ...... (2)

x + y ≤ 100 ..... (3)