Question

Charlie and Jasmine share cartons of apple juice. Charlie drinks 1/3 of a carton every day. Jasmine drinks 2/5 of a carton every day. Any apple juice left in a carton at the end of the day is used the following day. The cost of a carton is 70p. Charlie and Jasmine buy just enough cartons to last them for 10 days. How much do they spend in total for these cartons? Give your answer in £.

Answer 1

Using proportions, it is found that they spent a total of £5.6 for these cartons of apple juice.

What is a proportion?

A proportion is a fraction of a total amount, and the measures are related using a rule of three.

In this problem, the daily fraction of a carton they drink is given by:

$\frac{1}{3} + \frac{2}{5} = \frac{5 + 6}{15} = \frac{11}{15}$

Hence, applying the proportion, over 10 days, the amount of cartons they drink is given by:

$10 \times \frac{11}{15} = \frac{110}{15} = 7.33$

Rounding up, they buy 8 cartons, each at £0.7. Hence the total amount spent is given by:

8 x £0.7 = £5.6.

More can be learned about proportions at brainly.com/question/24372153

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