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?
Solución de inteligencia artificial de Upstudy
Responder
Solución

¡Inicia sesión para desbloquear respuestas gratis!
Una plataforma de aprendizaje en la que confían millones de estudiantes y profesores reales.

Respondido por UpStudy AI y revisado por un tutor profesional
Extra Insights
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!
