Question

Gina used 3/8 tub of butter to make buns and 1/2 tub of butter to make cream puffs she had 1/8 tub of butter left
How much butter did Gina use
How much butter did Gina have at first

A jug contained 2 l of lemonade ken served 1/2 of lemonade to his parents and 1/4 l to his brother
How much butter did Gina have at first

Answer 1

To answer your questions, let's analyze the information step by step.

### For Gina's Butter:

1. **Butter Used**:
- Gina used \( \frac{3}{8} \) tub of butter for buns.
- She used \( \frac{1}{2} \) tub of butter for cream puffs.
- We need to convert \( \frac{1}{2} \) tub into eighths for easier addition:
\[
\frac{1}{2} = \frac{4}{8}
\]

- Now, we can add the amounts of butter used:
\[
\text{Total used} = \frac{3}{8} + \frac{4}{8} = \frac{7}{8}
\]

2. **Remaining Butter**:
- After making the buns and cream puffs, Gina had \( \frac{1}{8} \) tub of butter left.

3. **Total Butter Initially**:
- If she used \( \frac{7}{8} \) tub and had \( \frac{1}{8} \) tub left, the initial amount of butter can be calculated by adding the used butter and the remaining butter:
\[
\text{Total Butter Initially} = \frac{7}{8} + \frac{1}{8} = \frac{8}{8} = 1 \text{ tub}
\]

### Summary for Gina:
- **Total Butter Used**: \( \frac{7}{8} \) tub
- **Total Butter at First**: 1 tub

### For Ken's Lemonade:

1. **Lemonade Served**:
- Ken served \( \frac{1}{2} \) liter to his parents and \( \frac{1}{4} \) liter to his brother.
- To find the total amount served, we can convert \( \frac{1}{2} \) liter into quarters:
\[
\frac{1}{2} = \frac{2}{4}
\]
- Now we can add the amounts served:
\[
\text{Total Served} = \frac{2}{4} + \frac{1}{4} = \frac{3}{4} \text{ liters}
\]

2. **Lemonade Remaining**:
- If the jug initially contained 2 liters of lemonade:
\[
\text{Remaining Lemonade} = 2 - \frac{3}{4} = \frac{8}{4} - \frac{3}{4} = \frac{5}{4} \text{ liters, or } 1 \frac{1}{4} \text{ liters.}
\]

### Summary for Ken:
- **Total Lemonade Initially**: 2 liters
- **Total Lemonade Served**: \( \frac{3}{4} \) liters
- **Lemonade Remaining**: \( \frac{5}{4} \) liters or 1.25 liters

Let me know if you need any further assistance!