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?

Question

UpStudy AI · Accepted Answer

**(i) Total milk used**

Mary uses  
$$
\frac{2}{3} \text{ litres on Wednesday,} \quad 1\frac{3}{4} \text{ litres on Thursday, and} \quad \frac{2}{5} \text{ litres on Friday.}
$$

First, convert the mixed number to an improper fraction:
$$
1\frac{3}{4} = \frac{7}{4}.
$$

Now, sum the fractions:
$$
\frac{2}{3} + \frac{7}{4} + \frac{2}{5}.
$$

Find the least common denominator (LCD) for $$3$$, $$4$$, and $$5$$. The LCD is $$60$$.

Convert each fraction:
$$
\frac{2}{3} = \frac{2 \times 20}{3 \times 20} = \frac{40}{60},
$$
$$
\frac{7}{4} = \frac{7 \times 15}{4 \times 15} = \frac{105}{60},
$$
$$
\frac{2}{5} = \frac{2 \times 12}{5 \times 12} = \frac{24}{60}.
$$

Add them:
$$
\frac{40}{60} + \frac{105}{60} + \frac{24}{60} = \frac{40 + 105 + 24}{60} = \frac{169}{60}.
$$

This can be written as a mixed number:
$$
\frac{169}{60} = 2\frac{49}{60}.
$$

So, Mary used a total of $$\frac{169}{60}$$ litres (or $$2\frac{49}{60}$$ litres).

**(ii) Milk left over**

Mary has three 2-litre bottles. Therefore, the total milk initially available is:
$$
3 \times 2 = 6 \text{ litres.}
$$

Subtract the milk used:
$$
6 - \frac{169}{60}.
$$

Convert $$6$$ to a fraction with denominator $$60$$:
$$
6 = \frac{360}{60}.
$$

Subtract:
$$
\frac{360}{60} - \frac{169}{60} = \frac{360 - 169}{60} = \frac{191}{60}.
$$

Thus, Mary has $$\frac{191}{60}$$ litres left, which can also be written as a mixed number:
$$
\frac{191}{60} = 3\frac{11}{60} \text{ litres.}
$$
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.

Mary uses litres of milk on a Wednesday, litres
on a Thursday, and 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

Extra Insights

preguntas relacionadas

Latest Arithmetic Questions

Mary uses litres of milk on a Wednesday, litres on a Thursday, and 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?