We appreciate your visit to Maxwell s vegetarian tacos require tex frac 3 4 tex tablespoon of chili powder for every tex frac 1 2 tex pound of vegetables How. This page offers clear insights and highlights the essential aspects of the topic. Our goal is to provide a helpful and engaging learning experience. Explore the content and find the answers you need!
Answer :
To determine how much chili powder Maxwell needs, we have to find the correct proportion based on the given recipe.
1. Understand the Ratio:
Maxwell's tacos need [tex]\(\frac{3}{4}\)[/tex] tablespoons of chili powder for every [tex]\(\frac{1}{2}\)[/tex] pound of vegetables.
2. Figure out the Total Vegetables Used:
Maxwell plans to use [tex]\(1 \frac{3}{4}\)[/tex] pounds of vegetables. Let's convert this mixed number to an improper fraction:
[tex]\[
1 \frac{3}{4} = \frac{7}{4}
\][/tex]
3. Set Up the Proportion:
We need to calculate how many times the ratio of [tex]\(\frac{1}{2}\)[/tex] pounds of vegetables goes into [tex]\(\frac{7}{4}\)[/tex] pounds:
[tex]\[
\frac{7}{4} \div \frac{1}{2} = \frac{7}{4} \times \frac{2}{1} = \frac{14}{4} = \frac{7}{2}
\][/tex]
This means the basic [tex]\(\frac{1}{2}\)[/tex] pound ratio fits [tex]\(\frac{7}{2}\)[/tex] times into [tex]\(1 \frac{3}{4}\)[/tex] pounds of vegetables.
4. Calculate the Amount of Chili Powder Needed:
Knowing the ratio fits [tex]\(\frac{7}{2}\)[/tex] times, multiply this by the amount of chili powder needed per [tex]\(\frac{1}{2}\)[/tex] pound, which is [tex]\(\frac{3}{4}\)[/tex]:
[tex]\[
\frac{7}{2} \times \frac{3}{4} = \frac{21}{8} = 2 \frac{5}{8}
\][/tex]
Therefore, Maxwell will need [tex]\(2 \frac{5}{8}\)[/tex] tablespoons of chili powder. The correct answer is [tex]\((C) 2 \frac{5}{8}\)[/tex] tablespoons.
1. Understand the Ratio:
Maxwell's tacos need [tex]\(\frac{3}{4}\)[/tex] tablespoons of chili powder for every [tex]\(\frac{1}{2}\)[/tex] pound of vegetables.
2. Figure out the Total Vegetables Used:
Maxwell plans to use [tex]\(1 \frac{3}{4}\)[/tex] pounds of vegetables. Let's convert this mixed number to an improper fraction:
[tex]\[
1 \frac{3}{4} = \frac{7}{4}
\][/tex]
3. Set Up the Proportion:
We need to calculate how many times the ratio of [tex]\(\frac{1}{2}\)[/tex] pounds of vegetables goes into [tex]\(\frac{7}{4}\)[/tex] pounds:
[tex]\[
\frac{7}{4} \div \frac{1}{2} = \frac{7}{4} \times \frac{2}{1} = \frac{14}{4} = \frac{7}{2}
\][/tex]
This means the basic [tex]\(\frac{1}{2}\)[/tex] pound ratio fits [tex]\(\frac{7}{2}\)[/tex] times into [tex]\(1 \frac{3}{4}\)[/tex] pounds of vegetables.
4. Calculate the Amount of Chili Powder Needed:
Knowing the ratio fits [tex]\(\frac{7}{2}\)[/tex] times, multiply this by the amount of chili powder needed per [tex]\(\frac{1}{2}\)[/tex] pound, which is [tex]\(\frac{3}{4}\)[/tex]:
[tex]\[
\frac{7}{2} \times \frac{3}{4} = \frac{21}{8} = 2 \frac{5}{8}
\][/tex]
Therefore, Maxwell will need [tex]\(2 \frac{5}{8}\)[/tex] tablespoons of chili powder. The correct answer is [tex]\((C) 2 \frac{5}{8}\)[/tex] tablespoons.
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