Questions: Solve. Round to the nearest hundredth if necessary. Find the number of liters in 6 c of soda. Step 1: Convert the cups to quarts. There are cups in a quart. 6 c=6 / qt 6 c= qt Step 2: Convert the quarts to liters. 1 L=1.06 qt qt = 6 c= L

Solve. Round to the nearest hundredth if necessary.
Find the number of liters in 6 c of soda.
Step 1: Convert the cups to quarts.
There are cups in a quart.

6 c=6 / qt
6 c= qt

Step 2: Convert the quarts to liters.

1 L=1.06 qt
qt = 6 c= L

Transcript text: Solve. Round to the nearest hundredth if necessary. Find the number of liters in 6 c of soda. Step 1: Convert the cups to quarts. There are $\square$ cups in a quart. \[ \begin{array}{l} 6 \mathrm{c}=6 / \square \mathrm{qt} \\ 6 \mathrm{c}=\square \mathrm{qt} \end{array} \] Step 2: Convert the quarts to liters. \[ 1 \mathrm{~L}=1.06 \mathrm{qt} \] $\square$ qt $=$ $\square$ $6 \mathrm{c}=\square \mathrm{L}$

Solution

Solution Steps

Step 1: Convert cups to quarts

There are 4 cups in a quart. \[ \begin{array}{l} 6 \mathrm{c} = 6/4 \mathrm{qt} \\ 6 \mathrm{c} = 1.5 \mathrm{qt} \end{array} \]

Step 2: Convert quarts to liters

We are given that 1 L = 1.06 qt. We want to convert 1.5 qt to liters. We can set up a proportion: \[ \frac{1 \text{ L}}{1.06 \text{ qt}} = \frac{x \text{ L}}{1.5 \text{ qt}} \] Cross-multiply: \[ 1.06x = 1.5 \] Divide both sides by 1.06: \[ x = \frac{1.5}{1.06} \approx 1.42 \] So, 1.5 qt ≈ 1.42 L.

Final Answer

\$\boxed{1.42 \text{ L}}\$

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