Question

charlotte measured the weights of several items in her house and arranged them in the table below.

\

$$\begin{tabular}{|c|c|c|} \\hline item & weight & units \\\\ \\hline cookie jar & 2,115.16 & g \\\\ \\hline watermelon & 5.49 & lb \\\\ \\hline nightstand & 2.02 & kg \\\\ \\hline coat & 0.00260 & ton \\\\ \\hline \\end{tabular}$$

given that there are 28.3495 grams in an ounce, find the number of ounces in the heaviest item listed above.
a. 71.10 oz
b. 83.12 oz
c. 87.79 oz
d. 109.74 oz

Explanation:

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<reasoning>

Read the weights from the table

Using the Table Reading knowledge point
\[

$$\begin{aligned} &\text{cookie jar} = 2,115.16\text{ g}\\ &\text{watermelon} = 5.49\text{ lb}\\ &\text{nightstand} = 2.02\text{ kg}\\ &\text{coat} = 0.00260\text{ ton} \end{aligned}$$

\]

Convert all weights to grams

Using the Unit Conversion and Mass Units Comparison knowledge points
\[

$$\begin{aligned} &\text{cookie jar} = 2,115.16\text{ g}\\ &\text{watermelon} = 5.49\text{ lb} \times 453.59237\text{ g/lb} \approx 2,490.22\text{ g}\\ &\text{nightstand} = 2.02\text{ kg} \times 1,000\text{ g/kg} = 2,020\text{ g}\\ &\text{coat} = 0.00260\text{ ton} \times 2,000\text{ lb/ton} \times 453.59237\text{ g/lb} \approx 2,358.68\text{ g} \end{aligned}$$

\]

Identify the heaviest item

Using the Mass Units Comparison knowledge point
\[

$$\begin{aligned} &2,490.22\text{ g} > 2,358.68\text{ g} > 2,115.16\text{ g} > 2,020\text{ g}\\ &\text{Heaviest item} = \text{watermelon} \approx 2,490.22\text{ g} \end{aligned}$$

\]

Convert the heaviest weight to ounces

Using the Unit Conversion knowledge point
\[

$$\begin{aligned} &\text{Weight in ounces} = \frac{2,490.2221\text{ g}}{28.3495\text{ g/oz}} \approx 87.84\text{ oz} \end{aligned}$$

\]
Using direct pound-to-ounce conversion:
\[

$$\begin{aligned} &5.49\text{ lb} \times 16\text{ oz/lb} = 87.84\text{ oz} \end{aligned}$$

\]
Comparing with the options, \(87.79\text{ oz}\) is the closest value, which corresponds to option (c).
</reasoning>

<answer>
<mcq-option>a. 71.10 oz</mcq-option>
<mcq-option>b. 83.12 oz</mcq-option>
<mcq-correct>c. 87.79 oz</mcq-correct>
<mcq-option>d. 109.74 oz</mcq-option>
</answer>

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Answer:

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<reasoning>

Read the weights from the table

Using the Table Reading knowledge point
\[

$$\begin{aligned} &\text{cookie jar} = 2,115.16\text{ g}\\ &\text{watermelon} = 5.49\text{ lb}\\ &\text{nightstand} = 2.02\text{ kg}\\ &\text{coat} = 0.00260\text{ ton} \end{aligned}$$

\]

Convert all weights to grams

Using the Unit Conversion and Mass Units Comparison knowledge points
\[

$$\begin{aligned} &\text{cookie jar} = 2,115.16\text{ g}\\ &\text{watermelon} = 5.49\text{ lb} \times 453.59237\text{ g/lb} \approx 2,490.22\text{ g}\\ &\text{nightstand} = 2.02\text{ kg} \times 1,000\text{ g/kg} = 2,020\text{ g}\\ &\text{coat} = 0.00260\text{ ton} \times 2,000\text{ lb/ton} \times 453.59237\text{ g/lb} \approx 2,358.68\text{ g} \end{aligned}$$

\]

Identify the heaviest item

Using the Mass Units Comparison knowledge point
\[

$$\begin{aligned} &2,490.22\text{ g} > 2,358.68\text{ g} > 2,115.16\text{ g} > 2,020\text{ g}\\ &\text{Heaviest item} = \text{watermelon} \approx 2,490.22\text{ g} \end{aligned}$$

\]

Convert the heaviest weight to ounces

Using the Unit Conversion knowledge point
\[

$$\begin{aligned} &\text{Weight in ounces} = \frac{2,490.2221\text{ g}}{28.3495\text{ g/oz}} \approx 87.84\text{ oz} \end{aligned}$$

\]
Using direct pound-to-ounce conversion:
\[

$$\begin{aligned} &5.49\text{ lb} \times 16\text{ oz/lb} = 87.84\text{ oz} \end{aligned}$$

\]
Comparing with the options, \(87.79\text{ oz}\) is the closest value, which corresponds to option (c).
</reasoning>

<answer>
<mcq-option>a. 71.10 oz</mcq-option>
<mcq-option>b. 83.12 oz</mcq-option>
<mcq-correct>c. 87.79 oz</mcq-correct>
<mcq-option>d. 109.74 oz</mcq-option>
</answer>

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