Question
Casey picked 6 pounds of pears. Karen picked 48 ounces of cherries. Jude picked 2 pounds of apples. They are going to make fruit pies.
Fruit Pie Recipe
Fruit Amount
Cherries 8 oz
Apples 8 oz
Pears 12 oz
Select all of the true statements below.
(1 point)
Responses
Together, Karen and Jude picked the same weight of fruit as Casey picked.
Together, Karen and Jude picked the same weight of fruit as Casey picked.
Casey picked 2 times the weight of fruit that Karen picked.
Casey picked 2 times the weight of fruit that Karen picked.
There is enough fruit to make 6 pies.
There is enough fruit to make 6 pies.
If they make as many pies as possible, there will be 4 pounds of pears left over.
If they make as many pies as possible, there will be 4 pounds of pears left over.
To make 8 pies, they would need 1 more pound of cherries and 2 more pounds of apples.
Fruit Pie Recipe
Fruit Amount
Cherries 8 oz
Apples 8 oz
Pears 12 oz
Select all of the true statements below.
(1 point)
Responses
Together, Karen and Jude picked the same weight of fruit as Casey picked.
Together, Karen and Jude picked the same weight of fruit as Casey picked.
Casey picked 2 times the weight of fruit that Karen picked.
Casey picked 2 times the weight of fruit that Karen picked.
There is enough fruit to make 6 pies.
There is enough fruit to make 6 pies.
If they make as many pies as possible, there will be 4 pounds of pears left over.
If they make as many pies as possible, there will be 4 pounds of pears left over.
To make 8 pies, they would need 1 more pound of cherries and 2 more pounds of apples.
Answers
GPT-4o mini
To assess the statements provided, let's first determine the amount of fruit each person picked and whether there's enough fruit to make the desired pies.
**Conversions:**
- Casey picked 6 pounds of pears.
- Karen picked 48 ounces of cherries, which is **3 pounds** (since 1 pound = 16 ounces).
- Jude picked 2 pounds of apples.
Now let's summarize how much fruit they all picked in pounds:
- Casey: 6 pounds of pears
- Karen: 3 pounds of cherries
- Jude: 2 pounds of apples
### Total Weight:
Total fruit picked:
- Pears: 6 pounds
- Cherries: 3 pounds
- Apples: 2 pounds
Total weight = 6 + 3 + 2 = **11 pounds of fruit**
### Fruit Pie Recipe Requirements:
To make one pie, the recipe calls for:
- Cherries: 8 oz (0.5 pounds)
- Apples: 8 oz (0.5 pounds)
- Pears: 12 oz (0.75 pounds)
Total fruit needed for one pie = 0.5 + 0.5 + 0.75 = 1.75 pounds
### Number of Pies:
To find out how many pies they can make with 11 pounds of fruit:
Total number of pies = Total weight / Weight needed per pie
= 11 pounds / 1.75 pounds per pie = **6.285** pies
Since you can't make a fraction of a pie, they can make **6 pies**.
### Amount of Each Fruit Used for 6 Pies:
- Cherries: 6 pies * 0.5 pounds = 3 pounds
- Apples: 6 pies * 0.5 pounds = 3 pounds
- Pears: 6 pies * 0.75 pounds = 4.5 pounds
### Leftover Fruit:
Now let’s see how much fruit is left over after making 6 pies:
- Cherries: 3 pounds (picked) - 3 pounds (used) = **0 pounds left**
- Apples: 2 pounds (picked) - 3 pounds (used) = **-1 pound** (not enough apples)
- Pears: 6 pounds (picked) - 4.5 pounds (used) = **1.5 pounds left**
Additionally, they cannot make 6 pies since they are short on apples, meaning they can only make 4 pies worth of ingredients.
### Evaluating the Statements:
1. **Together, Karen and Jude picked the same weight of fruit as Casey picked.**
- Karen picked 3 pounds and Jude picked 2 pounds, together they picked 5 pounds.
- Casey picked 6 pounds. **FALSE**
2. **Casey picked 2 times the weight of fruit that Karen picked.**
- 2 times Karen's fruit: 2 * 3 pounds = 6 pounds.
- Casey picked 6 pounds. **TRUE**
3. **There is enough fruit to make 6 pies.**
- They only have enough fruit to make 4 pies based on the apples available. **FALSE**
4. **If they make as many pies as possible, there will be 4 pounds of pears left over.**
- They have 1.5 pounds of pears left after making 4 pies, not 4 pounds. **FALSE**
5. **To make 8 pies, they would need 1 more pound of cherries and 2 more pounds of apples.**
- For 8 pies, they would need:
- Cherries: 4 pounds
- Apples: 4 pounds
- Pears: 6 pounds
- They have picked 3 pounds of cherries and 2 pounds of apples.
- So, yes, they need 1 more pound of cherries (to get to 4 pounds) and 2 more pounds of apples (to get to 4 pounds). **TRUE**
### True Statements:
- **Casey picked 2 times the weight of fruit that Karen picked.**
- **To make 8 pies, they would need 1 more pound of cherries and 2 more pounds of apples.**
**Conversions:**
- Casey picked 6 pounds of pears.
- Karen picked 48 ounces of cherries, which is **3 pounds** (since 1 pound = 16 ounces).
- Jude picked 2 pounds of apples.
Now let's summarize how much fruit they all picked in pounds:
- Casey: 6 pounds of pears
- Karen: 3 pounds of cherries
- Jude: 2 pounds of apples
### Total Weight:
Total fruit picked:
- Pears: 6 pounds
- Cherries: 3 pounds
- Apples: 2 pounds
Total weight = 6 + 3 + 2 = **11 pounds of fruit**
### Fruit Pie Recipe Requirements:
To make one pie, the recipe calls for:
- Cherries: 8 oz (0.5 pounds)
- Apples: 8 oz (0.5 pounds)
- Pears: 12 oz (0.75 pounds)
Total fruit needed for one pie = 0.5 + 0.5 + 0.75 = 1.75 pounds
### Number of Pies:
To find out how many pies they can make with 11 pounds of fruit:
Total number of pies = Total weight / Weight needed per pie
= 11 pounds / 1.75 pounds per pie = **6.285** pies
Since you can't make a fraction of a pie, they can make **6 pies**.
### Amount of Each Fruit Used for 6 Pies:
- Cherries: 6 pies * 0.5 pounds = 3 pounds
- Apples: 6 pies * 0.5 pounds = 3 pounds
- Pears: 6 pies * 0.75 pounds = 4.5 pounds
### Leftover Fruit:
Now let’s see how much fruit is left over after making 6 pies:
- Cherries: 3 pounds (picked) - 3 pounds (used) = **0 pounds left**
- Apples: 2 pounds (picked) - 3 pounds (used) = **-1 pound** (not enough apples)
- Pears: 6 pounds (picked) - 4.5 pounds (used) = **1.5 pounds left**
Additionally, they cannot make 6 pies since they are short on apples, meaning they can only make 4 pies worth of ingredients.
### Evaluating the Statements:
1. **Together, Karen and Jude picked the same weight of fruit as Casey picked.**
- Karen picked 3 pounds and Jude picked 2 pounds, together they picked 5 pounds.
- Casey picked 6 pounds. **FALSE**
2. **Casey picked 2 times the weight of fruit that Karen picked.**
- 2 times Karen's fruit: 2 * 3 pounds = 6 pounds.
- Casey picked 6 pounds. **TRUE**
3. **There is enough fruit to make 6 pies.**
- They only have enough fruit to make 4 pies based on the apples available. **FALSE**
4. **If they make as many pies as possible, there will be 4 pounds of pears left over.**
- They have 1.5 pounds of pears left after making 4 pies, not 4 pounds. **FALSE**
5. **To make 8 pies, they would need 1 more pound of cherries and 2 more pounds of apples.**
- For 8 pies, they would need:
- Cherries: 4 pounds
- Apples: 4 pounds
- Pears: 6 pounds
- They have picked 3 pounds of cherries and 2 pounds of apples.
- So, yes, they need 1 more pound of cherries (to get to 4 pounds) and 2 more pounds of apples (to get to 4 pounds). **TRUE**
### True Statements:
- **Casey picked 2 times the weight of fruit that Karen picked.**
- **To make 8 pies, they would need 1 more pound of cherries and 2 more pounds of apples.**