Answered

The Maho family uses a total of [tex]\(\frac{3}{4}\)[/tex] of a liter of milk on their cereal each morning. Answer these questions by drawing a picture to work out your answers.

a) How much milk will they use on their cereal in two mornings?

b) How much milk will they use on their cereal in six mornings?

c) If the Maho family uses 5 liters of milk for breakfast, how many mornings did they have cereal?



Answer :

Certainly! Let's work through each question step-by-step:

### a) How much milk will they use on their cereal in two mornings?

1. Identify the amount of milk used each morning: The Maho family uses 3 liters of milk every morning for their cereal.
2. Determine the number of mornings: We are asked for the amount of milk used over two mornings.
3. Calculate the total milk used: To find the total milk used over two mornings, multiply the amount of milk used per morning by the number of mornings.

[tex]\[ \text{Total milk used in two mornings} = 3 \text{ liters/morning} \times 2 \text{ mornings} = 6 \text{ liters} \][/tex]

So, the Maho family will use 6 liters of milk on their cereal in two mornings.

### b) How much milk will they use on their cereal in six mornings?

1. Identify the amount of milk used each morning: The Maho family uses 3 liters of milk every morning for their cereal.
2. Determine the number of mornings: We are asked for the amount of milk used over six mornings.
3. Calculate the total milk used: To find the total milk used over six mornings, multiply the amount of milk used per morning by the number of mornings.

[tex]\[ \text{Total milk used in six mornings} = 3 \text{ liters/morning} \times 6 \text{ mornings} = 18 \text{ liters} \][/tex]

So, the Maho family will use 18 liters of milk on their cereal in six mornings.

### c) If the Maho family uses 5 and \[tex]$\frac{5}{8}\$[/tex] liters of milk for breakfast, how many mornings did they have cereal?

1. Identify the total amount of milk used: The Maho family has used a total of 5 and \[tex]$\frac{5}{8}\$[/tex] liters of milk.
2. Convert the mixed number to an improper fraction: 5 and \[tex]$\frac{5}{8}\$[/tex] liters is equivalent to:
[tex]\[ 5 + \frac{5}{8} = \frac{40}{8} + \frac{5}{8} = \frac{45}{8} \][/tex]
3. Identify the amount of milk used each morning: The Maho family uses 3 liters each morning.
4. Determine the number of mornings: To find out how many mornings they used milk, divide the total amount of milk used by the amount of milk used per morning.

[tex]\[ \text{Number of mornings} = \frac{\frac{45}{8} \text{ liters}}{3 \text{ liters/morning}} \][/tex]
Simplify the division:
[tex]\[ \frac{45}{8} \div 3 = \frac{45}{8} \times \frac{1}{3} = \frac{45}{24} = 1.875 \][/tex]

So, the Maho family used 1.875 mornings' worth of milk for their breakfast.

In summary:
- a) They will use 6 liters of milk on their cereal in two mornings.
- b) They will use 18 liters of milk on their cereal in six mornings.
- c) They used 1.875 mornings' worth of milk for breakfast.