Question

Caroline and Helen share a job in the ratio 3:2.

(a) Caroline works for 24 hours a week
Calculate how many hours a week Helen works.

Answer 1

To find out how many hours Helen works, we can set up a proportion using the ratio: Caroline's hours / Helen's hours = 3 / 2. Solving for Helen's hours gives us 16.

Step-by-step explanation:

Caroline and Helen share a job in the ratio 3:2. Caroline works for 24 hours a week.

To find out how many hours Helen works, we can set up a proportion using the ratio:

Caroline's hours / Helen's hours = 3 / 2

Substituting in the given value for Caroline's hours: 24 / Helen's hours = 3 / 2

Cross multiplying, we get: 2 × 24 = 3 × Helen's hours

Solving for Helen's hours: Helen's hours = (2 × 24) / 3 = 48 / 3 = 16

Hence, Helen works for 16 hours a week.

Answer 2

helen works 16 hours

Step-by-step explanation:

caroline = 3 which is 24 hours

24/3 = 8

1 = 8 hours

8 hours x 2 = 16 hours