High School

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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 :

Final answer:

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.

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.

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