Question

isaac is baking a cake and needs to add flour weighing 5.85 oz to the mixture. if there are 28.3495 g in one ounce, how many grams of flour does he need to add?
a. 4.85 g
b. 20.64 g
c. 158.69 g
d. 165.84 g

Explanation:

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<reasoning>

Set up the conversion factors

Using the Unit Conversion and Dimensional Analysis knowledge points
\[

$$\begin{aligned} &\text{Given mass} = 5.85\text{ oz}\\ &\text{Conversion rate} = 28.3495\text{ g/oz} \end{aligned}$$

\]

Calculate the mass in grams

Using the Unit Conversion and Dimensional Analysis knowledge points
\[

$$\begin{aligned} \text{Mass in grams} &= 5.85\text{ oz} \times 28.3495\text{ g/oz} \\ &= 165.844575\text{ g} \\ &\approx 165.84\text{ g} \end{aligned}$$

\]
</reasoning>

<answer>
<mcq-option>a. 4.85 g</mcq-option>
<mcq-option>b. 20.64 g</mcq-option>
<mcq-option>c. 158.69 g</mcq-option>
<mcq-correct>d. 165.84 g</mcq-correct>
</answer>

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Answer:

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<reasoning>

Set up the conversion factors

Using the Unit Conversion and Dimensional Analysis knowledge points
\[

$$\begin{aligned} &\text{Given mass} = 5.85\text{ oz}\\ &\text{Conversion rate} = 28.3495\text{ g/oz} \end{aligned}$$

\]

Calculate the mass in grams

Using the Unit Conversion and Dimensional Analysis knowledge points
\[

$$\begin{aligned} \text{Mass in grams} &= 5.85\text{ oz} \times 28.3495\text{ g/oz} \\ &= 165.844575\text{ g} \\ &\approx 165.84\text{ g} \end{aligned}$$

\]
</reasoning>

<answer>
<mcq-option>a. 4.85 g</mcq-option>
<mcq-option>b. 20.64 g</mcq-option>
<mcq-option>c. 158.69 g</mcq-option>
<mcq-correct>d. 165.84 g</mcq-correct>
</answer>

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