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C) Mary uses \( \frac{3}{3} \) itres 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 mik did Mary use on these three \( d \) (ii) If she had three 2-litre botties in the fridge, how much milk would she have left over?

Ask by Hammond Hall. in South Africa
Mar 16,2025

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Mary used a total of \( \frac{63}{20} \) litres (or \( 3 \frac{3}{20} \) litres) of milk over Wednesday, Thursday, and Friday. After using this amount, she has \( \frac{57}{20} \) litres (or \( 2 \frac{17}{20} \) litres) of milk left over from her three 2-litre bottles.

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Mary used \( \frac{3}{3} = 1 \) litre of milk on Wednesday, \( 1 \frac{3}{4} = \frac{7}{4} \) litres on Thursday, and \( \frac{2}{5} \) litres on Friday. To find the total, we need a common denominator which is 20. So, \( 1 = \frac{20}{20} \), \( \frac{7}{4} = \frac{35}{20} \), and \( \frac{2}{5} = \frac{8}{20} \). Adding it all up gives us: \[ \frac{20}{20} + \frac{35}{20} + \frac{8}{20} = \frac{63}{20} = 3.15 \text{ litres} \] (i) Therefore, Mary used a total of \( 3.15 \) litres of milk. For (ii), she has three 2-litre bottles, totaling \( 6 \) litres. To find out how much milk she has left, subtract the amount she used from the total in the bottles: \[ 6 \text{ litres} - 3.15 \text{ litres} = 2.85 \text{ litres} \] So, Mary has \( 2.85 \) litres of milk left over!

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