Question

13

The table shows the ratio of teachers to children needed for two activities.

Climbing

Walking

teachers: children

1 : 4

1 :9

(a) There are 7 teachers to take children climbing.

What is the greatest number of children that can go climbing?

Answer 1

28

Explanation:

You require a teacher : children ratio of at least 1 : 4 for the activity of climbing, and you want to know the greatest number of children that can go climbing with 7 teachers.

Setup

We can describe this problem by the inequality ...

teachers/children ≥ 1/4

7/children ≥ 1/4 . . . . . for 7 teachers

Solution

multiplying by (4·children) gives ...

28 ≥ children

At most, 28 children can go climbing.