$$ 1 \mathrm{gal}=4 \mathrm{qt}, 16 \mathrm{~T}=1 \mathrm{C}, 1 \mathrm{pt}=2 \mathrm{C} $$, and $$ 2 \mathrm{pt}=1 \mathrm{qt} $$ Using the given conversion factors, convert 3 gallons to tablespoons, rounding to to the nearest tenth, if neccessary.

Question

UpStudy AI · Accepted Answer

We are given the following conversion factors:
  
$$
\begin{aligned}
1 \text{ gal} &= 4 \text{ qt}, \
16 \text{ T} &= 1 \text{ C}, \
1 \text{ pt} &= 2 \text{ C}, \
2 \text{ pt} &= 1 \text{ qt}.
\end{aligned}
$$

Our goal is to convert 3 gallons to tablespoons (T).

**Step 1: Convert gallons to quarts**

$$
3 \text{ gal} \times \frac{4 \text{ qt}}{1 \text{ gal}} = 12 \text{ qt}
$$

**Step 2: Convert quarts to pints**

Since $$2 \text{ pt} = 1 \text{ qt}$$, we have:

$$
12 \text{ qt} \times \frac{2 \text{ pt}}{1 \text{ qt}} = 24 \text{ pt}
$$

**Step 3: Convert pints to cups**

Given that $$1 \text{ pt} = 2 \text{ C}$$:

$$
24 \text{ pt} \times \frac{2 \text{ C}}{1 \text{ pt}} = 48 \text{ C}
$$

**Step 4: Convert cups to tablespoons**

Since $$16 \text{ T} = 1 \text{ C}$$:

$$
48 \text{ C} \times \frac{16 \text{ T}}{1 \text{ C}} = 768 \text{ T}
$$

Thus, 3 gallons is equivalent to $$768$$ tablespoons. Rounding to the nearest tenth gives:

$$
768.0 \text{ T}
$$
3 gallons is equal to 768.0 tablespoons.

, and
Using the given conversion factors, convert 3 gallons to tablespoons, rounding to to
the nearest tenth, if neccessary.

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, and Using the given conversion factors, convert 3 gallons to tablespoons, rounding to to the nearest tenth, if neccessary.