1. A baker had 10 sacks containing the following amounts of flour:
4 ½ kg, 3 ¼ kg, 2 ½ kg, 2 ½ kg, 4kg,
3 ¼ kg, 4 ¼ kg, 5kg, 2 ½ kg, 3 ¼ kg
2. Plot the measurements on a line plot. Give the line plot a title and label the axis.
3. If the baker redistributed the flour equally among the ten bags, how much flour would be in each bag?
You don't need to show the line plot I already did that so don't worry.....
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To answer the questions step-by-step:
1. The amounts of flour in each sack are:
- 4 ½ kg
- 3 ¼ kg
- 2 ½ kg
- 2 ½ kg
- 4 kg
- 3 ¼ kg
- 4 ¼ kg
- 5 kg
- 2 ½ kg
- 3 ¼ kg
2. To plot the measurements on a line plot, follow these steps:
a. Create a number line that spans from the smallest value (2 ½ kg) to the largest value (5 kg).
b. Mark each measurement on the number line using dots or X's.
c. Label the x-axis with the sacks or bag numbers.
d. Add a title to the line plot, such as "Amount of Flour in Sacks."
3. To redistribute the flour equally among the ten sacks, divide the total amount of flour by the number of sacks.
Total amount of flour: 4 ½ kg + 3 ¼ kg + 2 ½ kg + 2 ½ kg + 4 kg + 3 ¼ kg + 4 ¼ kg + 5 kg + 2 ½ kg + 3 ¼ kg
= 35 ½ kg
Amount of flour in each sack: 35 ½ kg ÷ 10 sacks
= 3 ½ kg.
Therefore, each bag would have 3 ½ kg of flour if redistributed equally.
To find the answer to the 3rd question, you need to first calculate the total amount of flour and then divide it equally among the 10 bags.
Step 1: Calculate the total amount of flour
To find the total amount of flour, add up the amounts in each of the 10 sacks:
4 ½ kg + 3 ¼ kg + 2 ½ kg + 2 ½ kg + 4kg + 3 ¼ kg + 4 ¼ kg + 5kg + 2 ½ kg + 3 ¼ kg
Let's convert all the mixed fractions to improper fractions:
4 ½ kg = 9/2 kg
3 ¼ kg = 13/4 kg
2 ½ kg = 5/2 kg
4 ¼ kg = 17/4 kg
Now, calculate the total:
9/2 kg + 13/4 kg + 5/2 kg + 5/2 kg + 4 kg + 13/4 kg + 17/4 kg + 5 kg + 5/2 kg + 13/4 kg
Add all the numerators:
9 + 13 + 10 + 10 + 16 + 13 + 17 + 20 + 10 + 13 kg
Add the fractions:
9 + 13 + 10 + 10 + 16 + 13 + 17 + 20 + 10 + 13 = 131/4 kg
Step 2: Divide the total amount equally among 10 bags
To find the amount of flour in each bag, divide the total amount by 10:
131/4 kg ÷ 10
To divide by a fraction, you multiply by its reciprocal:
131/4 kg × 1/10
Multiply the numerators together: 131 × 1 = 131
Multiply the denominators together: 4 × 10 = 40
So, the amount of flour in each bag is 131/40 kg.
Now you can answer the 3rd question: If the baker redistributed the flour equally among the ten bags, each bag would contain 131/40 kg of flour.