Question

The ratio of adults to students on a class field trip is 2 to 5. If there are 12 more students than adults, which proportion and solution represent this situation?

Answer 1

X/y = 2/5

Y= x+12

Where y = students

X= adults

Number of adults= 8

Number of students= 20

Explanation:

The ratio of adults to students on a class field trip is 2 to 5. If there are 12 more students than adults.

Let adult be x

Let student be y

X/y = 2/5

5x= 2y.... equation one

Y= x+12..... equation two

Substituting equation two into equation one

5x= 2(x+12).

5x = 2x +24

3x= 24.

X= 8

Y= x+12

Y= 8+12

Y= 20

Number of adults= 8

Number of students= 20