Question

rachel weighed her two cats, tiger and mittens. tiger weighed 10.91 pounds, and mittens weighed 178.08 ounces. which cat is heavier, and how many pounds heavier is she?
a. tiger is 1.02 pounds heavier than mittens.
b. tiger is 3.49 pounds heavier than mittens.
c. mittens is 0.22 pounds heavier than tiger.
d. mittens is 3.93 pounds heavier than tiger.

Explanation:

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<reasoning>

Convert Mittens' weight to pounds

Using the Unit Conversion knowledge point
\[

$$\begin{aligned} &1\text{ pound} = 16\text{ ounces}\\ &W_{\text{Mittens}} = \frac{178.08\text{ ounces}}{16\text{ ounces/pound}} = 11.13\text{ pounds} \end{aligned}$$

\]

Compare the weights of the two cats

\[

$$\begin{aligned} &W_{\text{Tiger}} = 10.91\text{ pounds}\\ &W_{\text{Mittens}} = 11.13\text{ pounds}\\ &11.13\text{ pounds} > 10.91\text{ pounds} \implies \text{Mittens is heavier.} \end{aligned}$$

\]

Calculate the weight difference

\[

$$\begin{aligned} &\text{Difference} = 11.13\text{ pounds} - 10.91\text{ pounds} = 0.22\text{ pounds} \end{aligned}$$

\]
</reasoning>

<answer>
<mcq-option>a. Tiger is 1.02 pounds heavier than Mittens.</mcq-option>
<mcq-option>b. Tiger is 3.49 pounds heavier than Mittens.</mcq-option>
<mcq-correct>c. Mittens is 0.22 pounds heavier than Tiger.</mcq-correct>
<mcq-option>d. Mittens is 3.93 pounds heavier than Tiger.</mcq-option>
</answer>

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Answer:

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<reasoning>

Convert Mittens' weight to pounds

Using the Unit Conversion knowledge point
\[

$$\begin{aligned} &1\text{ pound} = 16\text{ ounces}\\ &W_{\text{Mittens}} = \frac{178.08\text{ ounces}}{16\text{ ounces/pound}} = 11.13\text{ pounds} \end{aligned}$$

\]

Compare the weights of the two cats

\[

$$\begin{aligned} &W_{\text{Tiger}} = 10.91\text{ pounds}\\ &W_{\text{Mittens}} = 11.13\text{ pounds}\\ &11.13\text{ pounds} > 10.91\text{ pounds} \implies \text{Mittens is heavier.} \end{aligned}$$

\]

Calculate the weight difference

\[

$$\begin{aligned} &\text{Difference} = 11.13\text{ pounds} - 10.91\text{ pounds} = 0.22\text{ pounds} \end{aligned}$$

\]
</reasoning>

<answer>
<mcq-option>a. Tiger is 1.02 pounds heavier than Mittens.</mcq-option>
<mcq-option>b. Tiger is 3.49 pounds heavier than Mittens.</mcq-option>
<mcq-correct>c. Mittens is 0.22 pounds heavier than Tiger.</mcq-correct>
<mcq-option>d. Mittens is 3.93 pounds heavier than Tiger.</mcq-option>
</answer>

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