Question

45 children attend preschool. The number of two-year-olds is one half the number of three-year-olds. The number of four-year-olds is the same number of three-year-olds. How many two-year-olds attend the preschool? How many three-year-olds attend the preschool? How many four-year-olds attend the preschool?

Answer 1

Answer: 9 - 2 yr olds, 18 - 3 yr olds, and 18 - 4 yr olds

Explanation:

2 yr olds:
`(1)/(2)x`

3 yr olds: x

4 yr olds: x

2 yr olds + 3 yr olds + 4 yr olds = Total students

`(1)/(2)x` + x + x = 45

`2(1)/(2)x = 45\\\\(5)/(2)x = 45\\\\5x = 90\\\\x = 18`