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Kaylee prepared some orange juice. she drank 1/5 litres of the juice and gave 4/7 of it to her neighbour. In the end, she lad 1/10 litres of juice left. How much orange juice did she prepare? Give your answer in litres.

Question

Kaylee prepared some orange juice. she drank 1/5 litres of the juice and gave 4/7 of it to her neighbour. In the end, she lad 1/10 litres of juice left. How much orange juice did she prepare? Give your answer in litres.

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Solution

Let's denote the total amount of orange juice Kaylee prepared as X litres.

According to the problem, Kaylee drank 1/5 of the juice and gave 4/7 of it to her neighbour. So, she consumed a total of 1/5 + 4/7 = 7/35 + 20/35 = 27/35 of the juice.

This means that she was left with 1 - 27/35 = 8/35 of the juice.

The problem also states that she had 1/10 litres of juice left. So, we can set up the following equation:

8/35 * X = 1/10

To solve for X, we can multiply both sides of the equation by the reciprocal of 8/35, which is 35/8:

X = 1/10 * 35/8 = 35/80 = 7/16 litres

So, Kaylee prepared 7/16 litres of orange juice.

This problem has been solved

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