Activity 1: Working with ratio
A company has a total of 150 employees and 25 of them are managers.
What is the ratio of managers to non-managers?
- 1 to 3
- 1 to 4
- 1 to 5
- 1 to 6
- 2 to 5 [5]
Solution
The company has 25 managers✓, so the remaining 125 employees are non-managers.✓
Express this ratio as a fraction and then reduce it:
Managers = 25 = 1 ✓
Non-managers 125 5
✓The ratio of managers to non-managers is 1 to 5, so the correct answer is Choice (C) ✓✓. [5]
Activity 2: Convert units of time
- A train journey takes 34 hours. How many days and hours does the journey take? (3)
- A plane trip (with stopovers) from South Africa to China takes 38 hours. How many days and hours does the trip take? (1) [4]
Solutions - 24 hours = 1 day
Therefore 34 hours = 34 = 1,417. ✓
24
From our answer of 1,417 we know that we have 1 whole day and some remainder in hours. ✓
We now work backwards to calculate the remainder:
1 day = 24 hours
34 hours – 24 hours = 10 hours
So 34 hours = 1 day and 10 hours. (0,417 ´ 24 hours = 10 hours) ✓ - 38 – 24 = 14
The trip takes 1 day and 14 hrs. ✓ [4] |