Question
Rachel buys 1
gallon of milk. Her sister Abby uses 1 1/2
quarts of the milk in a recipe. Then her mother uses 3
cups of the milk in a different recipe.
Select all of the true statements below.
(1 point)
Responses
Rachel's mother uses more milk than her sister Abby uses.
Rachel's mother uses more milk than her sister Abby uses.
There are 56
fluid ounces of milk left.
There are 56 fluid ounces of milk left.
There are 9
cups of milk left.
There are 9 cups of milk left.
There is more than 1/ 4 gallon of milk left.
There is more than 1/2 gallon of milk left.
gallon of milk. Her sister Abby uses 1 1/2
quarts of the milk in a recipe. Then her mother uses 3
cups of the milk in a different recipe.
Select all of the true statements below.
(1 point)
Responses
Rachel's mother uses more milk than her sister Abby uses.
Rachel's mother uses more milk than her sister Abby uses.
There are 56
fluid ounces of milk left.
There are 56 fluid ounces of milk left.
There are 9
cups of milk left.
There are 9 cups of milk left.
There is more than 1/ 4 gallon of milk left.
There is more than 1/2 gallon of milk left.
Answers
GPT-4o mini
To find the true statements, we first need to convert all measurements to the same unit. We'll work with quarts, cups, and gallons.
1. **Starting Amount of Milk**:
- Rachel buys 1 gallon of milk.
- 1 gallon = 4 quarts = 16 cups = 128 fluid ounces.
2. **Abby's Usage**:
- Abby uses 1 1/2 quarts.
- 1 1/2 quarts = 1.5 quarts = 1.5 * 2 = 3 cups.
- In fluid ounces, 1 1/2 quarts = 1.5 * 32 = 48 fluid ounces.
3. **Mother's Usage**:
- Rachel's mother uses 3 cups of milk.
- 3 cups = 3 * 8 = 24 fluid ounces.
4. **Total Milk Used**:
- Total milk used = 48 fluid ounces (by Abby) + 24 fluid ounces (by mother) = 72 fluid ounces.
5. **Remaining Milk**:
- Remaining milk = 128 fluid ounces (initial) - 72 fluid ounces (used) = 56 fluid ounces.
Now, let's evaluate the statements:
1. **"Rachel's mother uses more milk than her sister Abby uses."**
- False. Abby used 48 fluid ounces while the mother used 24 fluid ounces.
2. **"There are 56 fluid ounces of milk left."**
- True. We calculated the remaining milk to be 56 fluid ounces.
3. **"There are 9 cups of milk left."**
- False. There are 56 fluid ounces left. Since there are 8 fluid ounces in a cup, 56 fluid ounces equals 7 cups (56 / 8 = 7).
4. **"There is more than 1/4 gallon of milk left."**
- True. 1/4 gallon = 32 fluid ounces. Since there are 56 fluid ounces left, it is more than 1/4 gallon.
5. **"There is more than 1/2 gallon of milk left."**
- False. 1/2 gallon = 64 fluid ounces. Since we have 56 fluid ounces left, it is not more than 1/2 gallon.
**True statements:**
- There are 56 fluid ounces of milk left.
- There is more than 1/4 gallon of milk left.
1. **Starting Amount of Milk**:
- Rachel buys 1 gallon of milk.
- 1 gallon = 4 quarts = 16 cups = 128 fluid ounces.
2. **Abby's Usage**:
- Abby uses 1 1/2 quarts.
- 1 1/2 quarts = 1.5 quarts = 1.5 * 2 = 3 cups.
- In fluid ounces, 1 1/2 quarts = 1.5 * 32 = 48 fluid ounces.
3. **Mother's Usage**:
- Rachel's mother uses 3 cups of milk.
- 3 cups = 3 * 8 = 24 fluid ounces.
4. **Total Milk Used**:
- Total milk used = 48 fluid ounces (by Abby) + 24 fluid ounces (by mother) = 72 fluid ounces.
5. **Remaining Milk**:
- Remaining milk = 128 fluid ounces (initial) - 72 fluid ounces (used) = 56 fluid ounces.
Now, let's evaluate the statements:
1. **"Rachel's mother uses more milk than her sister Abby uses."**
- False. Abby used 48 fluid ounces while the mother used 24 fluid ounces.
2. **"There are 56 fluid ounces of milk left."**
- True. We calculated the remaining milk to be 56 fluid ounces.
3. **"There are 9 cups of milk left."**
- False. There are 56 fluid ounces left. Since there are 8 fluid ounces in a cup, 56 fluid ounces equals 7 cups (56 / 8 = 7).
4. **"There is more than 1/4 gallon of milk left."**
- True. 1/4 gallon = 32 fluid ounces. Since there are 56 fluid ounces left, it is more than 1/4 gallon.
5. **"There is more than 1/2 gallon of milk left."**
- False. 1/2 gallon = 64 fluid ounces. Since we have 56 fluid ounces left, it is not more than 1/2 gallon.
**True statements:**
- There are 56 fluid ounces of milk left.
- There is more than 1/4 gallon of milk left.