store received a shipment of the following items:
256 cans of soup
1,632 eggs
Part A
A store clerk will arrange the cans of soup in 4 rows. There will be an equal number of cans in each row. How many cans of soup will the clerk arrange in each row? Show or explain how you got your answer.
Part B
What is another way the clerk could arrange the 256 cans of soup in rows and still have an equal number of cans in each row? Show or explain how you got your answer.
Part C
The 1,632 eggs the store received were shipped in cartons that each contain 12 eggs.
The clerk will place all the eggs in an empty cooler.
Each shelf of the cooler holds 17 cartons of eggs.
How many shelves are needed to hold all of the cartons of eggs? Show or explain how you got your answer.
Part D
The store sells 34 cartons of eggs each day.
How many days will it take until the store sells all the eggs it received? Show or explain how you got your answer.
Part A:
To find the number of cans of soup the clerk will arrange in each row, we need to divide the total number of cans (256) by the number of rows (4).
256 divided by 4 equals 64.
Therefore, the clerk will arrange 64 cans of soup in each row.
Part B:
Another way the clerk could arrange the 256 cans of soup in rows and still have an equal number of cans in each row is to have 8 rows.
256 divided by 8 equals 32.
Therefore, the clerk could arrange 32 cans of soup in each row.
Part C:
To find the number of shelves needed to hold all the cartons of eggs, we need to divide the total number of cartons (1,632) by the number of cartons that fit on each shelf (17).
1,632 divided by 17 equals 96.
Therefore, the clerk will need 96 shelves to hold all of the cartons of eggs.
Part D:
To find the number of days it will take until the store sells all the eggs, we need to divide the total number of cartons (1,632) by the number of cartons sold each day (34).
1,632 divided by 34 equals 48.
Therefore, it will take 48 days until the store sells all the eggs it received.
Part A:
To find out how many cans of soup the clerk will arrange in each row, we divide the total number of cans by the number of rows. In this case, we have 256 cans of soup and 4 rows.
256 / 4 = 64
So the clerk will arrange 64 cans of soup in each row.
Part B:
Another way the clerk could arrange the 256 cans of soup in rows and still have an equal number of cans in each row is by using different numbers of rows. Let's consider arranging them in 8 rows.
256 / 8 = 32
In this case, the clerk would arrange 32 cans of soup in each row.
Part C:
To find out how many shelves are needed to hold all the cartons of eggs, we need to divide the total number of cartons by the number of cartons that can fit on each shelf. We have 1,632 cartons of eggs and each shelf can hold 17 cartons.
1,632 / 17 = 96
So the clerk would need 96 shelves to hold all of the cartons of eggs.
Part D:
To find out how many days it will take for the store to sell all the eggs, we divide the total number of cartons by the number of cartons sold per day. We have 1,632 cartons of eggs and the store sells 34 cartons per day.
1,632 / 34 = 48
So it will take 48 days for the store to sell all of the eggs it received.
Part A:
To find the number of cans of soup in each row, divide the total number of cans by the number of rows.
Number of cans of soup: 256
Number of rows: 4
256 cans of soup ÷ 4 rows = 64 cans of soup in each row
Therefore, the clerk will arrange 64 cans of soup in each row.
Part B:
To find another way the clerk could arrange the 256 cans of soup in rows with an equal number of cans in each row, we need to find factors of 256.
The factors of 256 are: 1, 2, 4, 8, 16, 32, 64, 128, 256
Besides 4 rows, other possible arrangements could be:
- 2 rows with 128 cans of soup in each row
- 8 rows with 32 cans of soup in each row
- 16 rows with 16 cans of soup in each row
- 32 rows with 8 cans of soup in each row
- 64 rows with 4 cans of soup in each row
Part C:
To find the number of shelves needed to hold all the cartons of eggs, divide the total number of cartons by the number of cartons that fit on each shelf.
Number of cartons of eggs: 1,632
Number of cartons that fit on each shelf: 17
1,632 cartons of eggs ÷ 17 cartons per shelf = 96 shelves
Therefore, 96 shelves are needed to hold all the cartons of eggs.
Part D:
To find the number of days it will take for the store to sell all the eggs, divide the total number of cartons by the number of cartons sold per day.
Number of cartons of eggs: 1,632
Number of cartons sold per day: 34
1,632 cartons of eggs ÷ 34 cartons sold per day = 48 days
Therefore, it will take 48 days for the store to sell all the eggs.