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Mary uses \( \frac{2}{3} \) litres of milk on a Wednesday, \( 1 \frac{3}{4} \) litres on a Thursday, and \( \frac{2}{5} \) litres of milk on a Friday. (i) How much milk did Mary use on these three days? (ii) If she had three 2-litre bottles in the fridge, how much milk would she have left over?

Ask by Weston Mitchell. in South Africa
Mar 16,2025

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Mary used a total of \(2\frac{49}{60}\) litres of milk over the three days. After using this amount, she has \(3\frac{11}{60}\) litres of milk left from her three 2-litre bottles.

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To find out how much milk Mary used on the three days, we first convert all quantities into improper fractions or a common denominator. (i) Let's calculate the total amount of milk used: - On Wednesday: \( \frac{2}{3} \) litres - On Thursday: \( 1 \frac{3}{4} = \frac{7}{4} \) litres - On Friday: \( \frac{2}{5} \) litres Finding a common denominator, which is 60, we get: - \( \frac{2}{3} = \frac{40}{60} \) - \( \frac{7}{4} = \frac{105}{60} \) - \( \frac{2}{5} = \frac{24}{60} \) Now we add these together: \[ \frac{40}{60} + \frac{105}{60} + \frac{24}{60} = \frac{169}{60} \text{ litres} \] So, Mary used \( \frac{169}{60} \) litres or approximately \( 2.82 \) litres over the three days. (ii) Mary has three 2-litre bottles in the fridge, which is a total of: \[ 3 \times 2 = 6 \text{ litres} \] Now we find out how much milk she has left: \[ 6 - \frac{169}{60} = \frac{360}{60} - \frac{169}{60} = \frac{191}{60} \text{ litres}, \] which is approximately \( 3.18 \) litres left over. So, Mary has roughly \( 3.18 \) litres of milk remaining!

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