Sure! Let's break down each part of the question and solve them step-by-step.
### Part (a) Converting 3 quarts (qt) to gallons (gal)
We know that:
[tex]\[ 4 \text{ qt} = 1 \text{ gal} \][/tex]
Therefore, to convert quarts to gallons, we divide the number of quarts by 4.
[tex]\[ \text{Amount in gallons} = \frac{3 \text{ qt}}{4 \text{ qt/gal}} = 0.75 \text{ gal} \][/tex]
So, 3 quarts is equal to 0.75 gallons.
### Part (b) Converting 2 gallons and 2 quarts to cups (c)
We need to follow these steps to convert gallons and quarts to cups.
1. Convert gallons to quarts:
[tex]\[ 2 \text{ gal} \times 4 \text{ qt/gal} = 8 \text{ qt} \][/tex]
2. Add the additional quarts:
[tex]\[ 8 \text{ qt} + 2 \text{ qt} = 10 \text{ qt} \][/tex]
3. Convert quarts to pints:
[tex]\[ 10 \text{ qt} \times 2 \text{ pt/qt} = 20 \text{ pt} \][/tex]
4. Convert pints to cups:
[tex]\[ 20 \text{ pt} \times 2 \text{ c/pt} = 40 \text{ c} \][/tex]
Thus, 2 gallons and 2 quarts is equivalent to 10 quarts, which is equal to 40 cups in measurement.
### Summarizing the Results:
- 3 quarts (qt) is equal to 0.75 gallons (gal).
- 2 gallons (gal) and 2 quarts (qt) are equal to 10 quarts (qt), which is further equal to 40 cups (c).
