Casey picked 6 pounds of strawberries. Karen picked 48 ounces of blueberries. Jude picked 2 pounds of raspberries. They are going to make berry pies. The table shows the amount of berries needed for 1 pie.
Berry Pie Recipe
Type of BerryAmount
Blueberries8 oz
Raspberries8 oz
Strawberries12 oz
Select all of the true statements below.
A.
Together, Karen and Jude picked the same weight of fruit as Casey picked.
B.
Casey picked 2 times the weight of fruit that Karen picked.
C.
There are enough berries to make 6 berry pies.
D.
If they make as many pies as they can with the berries they picked, there will be 4 pounds of strawberries left over.
E.
To make 8 berry pies, they will need 1 more pound of blueberries and 2 more pounds of raspberries.
This is to help my bro with math
Stop nagging. When someone who can help sees the problem, you will get a response. It's only been 8 minutes!
A. No. 8+12 ≠ 8
B. No. 8 ≠ 2*8
Now you do some work and test the other statements. Show your attempts if you get stuck
To determine which of the statements are true, let's analyze the information given:
Casey picked 6 pounds of strawberries.
Karen picked 48 ounces of blueberries (which is equal to 3 pounds).
Jude picked 2 pounds of raspberries.
First, we need to convert all the weights to the same unit (either all pounds or all ounces) to make it easier to compare.
Karen picked 3 pounds of blueberries.
Jude picked 2 pounds of raspberries.
A. Together, Karen and Jude picked the same weight of fruit as Casey picked.
To find out if this is true, we need to add up the weights of blueberries and raspberries.
Karen + Jude = 3 + 2 = 5 pounds.
Therefore, statement A is false because the weight picked by Karen and Jude is not the same as the weight picked by Casey (6 pounds).
B. Casey picked 2 times the weight of fruit that Karen picked.
To find out if this is true, we need to compare the weights picked by Casey and Karen.
Casey = 6 pounds
Karen = 3 pounds
2 * Karen = 2 * 3 = 6 pounds.
Therefore, statement B is true because Casey picked 2 times the weight of fruit that Karen picked.
C. There are enough berries to make 6 berry pies.
To determine if there are enough berries for 6 berry pies, we need to compare the required amounts for 1 pie with the total amount of each berry picked.
For 1 pie:
Blueberries = 8 ounces (0.5 pounds)
Raspberries = 8 ounces (0.5 pounds)
Strawberries = 12 ounces (0.75 pounds)
Total amount of each berry picked:
Blueberries = 3 pounds
Raspberries = 2 pounds
Strawberries = 6 pounds
To calculate the number of pies, we divide the total amount of each berry by the required amount for 1 pie:
Blueberries: 3 pounds / 0.5 pounds = 6 pies
Raspberries: 2 pounds / 0.5 pounds = 4 pies
Strawberries: 6 pounds / 0.75 pounds = 8 pies
Since the number of pies is determined by the ingredient with the fewest available units, there are enough berries to make 4 pies.
Therefore, statement C is false because there are enough berries to make 4 pies, not 6.
D. If they make as many pies as they can with the berries they picked, there will be 4 pounds of strawberries left over.
To determine if this is true, we need to calculate the amount of strawberries needed for the pies and subtract it from the total amount of strawberries picked.
For 4 pies:
Strawberries needed = 4 pies * 0.75 pounds = 3 pounds
Total strawberries picked = 6 pounds
Total strawberries picked - Strawberries needed = 6 pounds - 3 pounds = 3 pounds
Therefore, statement D is true because if they make as many pies as they can with the berries they picked, there will be 3 pounds of strawberries left over, not 4 pounds.
E. To make 8 berry pies, they will need 1 more pound of blueberries and 2 more pounds of raspberries.
To determine if this is true, we need to calculate the amount of berries needed for 8 pies and compare it to the total amount of each berry picked.
For 8 pies:
Blueberries needed = 8 pies * 0.5 pounds = 4 pounds
Raspberries needed = 8 pies * 0.5 pounds = 4 pounds
To calculate if they need more blueberries and raspberries, we subtract the total amount of each berry picked from the required amount for 8 pies:
Blueberries needed - Total blueberries picked = 4 pounds - 3 pounds = 1 pound
Raspberries needed - Total raspberries picked = 4 pounds - 2 pounds = 2 pounds
Therefore, statement E is true because to make 8 berry pies, they will need an additional 1 pound of blueberries and 2 pounds of raspberries.
In summary, the true statements are:
B. Casey picked 2 times the weight of fruit that Karen picked.
D. If they make as many pies as they can with the berries they picked, there will be 4 pounds of strawberries left over.
E. To make 8 berry pies, they will need 1 more pound of blueberries and 2 more pounds of raspberries.
Oh common...
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