Question

question 16

if one glass of milk contains 300 milligrams (mg) of calcium, how many mg of calcium are in \\(3\frac{1}{2}\\) glasses of milk?

Explanation:

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<reasoning>

Identify the given values

We are given the unit rate of calcium per glass of milk:

• \(1\text{ glass} = 300\text{ mg of calcium}\)

We need to find the total calcium in:

• \(3\frac{1}{2}\text{ glasses of milk}\)

Convert the mixed number to an improper fraction

We convert the mixed number \(3\frac{1}{2}\) to an improper fraction:
\[
3\frac{1}{2} = \frac{3 \times 2 + 1}{2} = \frac{7}{2}
\]

Calculate the total amount of calcium

We multiply the number of glasses by the calcium content per glass:
\[
\text{Total Calcium} = \frac{7}{2} \times 300
\]

Simplify the expression

We perform the multiplication and division:
\[
\text{Total Calcium} = 7 \times 150 = 1050\text{ mg}
\]
</reasoning>

<answer>
If one glass of milk contains 300 milligrams (mg) of calcium, how many mg of calcium are in 3 1/2 glasses of milk? <blank>1050</blank>
</answer>

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Answer:

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<reasoning>

Identify the given values

We are given the unit rate of calcium per glass of milk:

• \(1\text{ glass} = 300\text{ mg of calcium}\)

We need to find the total calcium in:

• \(3\frac{1}{2}\text{ glasses of milk}\)

Convert the mixed number to an improper fraction

We convert the mixed number \(3\frac{1}{2}\) to an improper fraction:
\[
3\frac{1}{2} = \frac{3 \times 2 + 1}{2} = \frac{7}{2}
\]

Calculate the total amount of calcium

We multiply the number of glasses by the calcium content per glass:
\[
\text{Total Calcium} = \frac{7}{2} \times 300
\]

Simplify the expression

We perform the multiplication and division:
\[
\text{Total Calcium} = 7 \times 150 = 1050\text{ mg}
\]
</reasoning>

<answer>
If one glass of milk contains 300 milligrams (mg) of calcium, how many mg of calcium are in 3 1/2 glasses of milk? <blank>1050</blank>
</answer>

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