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.
### 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.
