Question

maxwells vegetarian tacos require \\(\frac{3}{4}\\) tablespoons of chili powder for every \\(\frac{1}{2}\\) pound of vegetables. how much chili powder will maxwell need if he uses \\(1\frac{3}{4}\\) pounds of vegetables?

\\(2\frac{1}{4}\\) tablespoons
\\(2\frac{1}{2}\\) tablespoons
\\(2\frac{5}{8}\\) tablespoons
\\(3\frac{1}{4}\\) tablespoons

Explanation:

Calculate the unit rate of chili powder per pound of vegetables

$$ \text{Unit Rate} = \frac{\frac{3}{4}\text{ tablespoons}}{\frac{1}{2}\text{ pound}} = \frac{3}{4} \times 2 = \frac{3}{2}\text{ tablespoons per pound} $$

Calculate the total chili powder needed for the given amount of vegetables

$$
LATEXBLOCK0
$$

Convert the improper fraction to a mixed number

$$ \frac{21}{8} = 2\frac{5}{8}\text{ tablespoons} $$

Answer:

• (A) \(2\frac{1}{4}\) tablespoons
• (B) \(2\frac{1}{2}\) tablespoons
• (C) \(2\frac{5}{8}\) tablespoons (Correct answer)
• (D) \(3\frac{1}{4}\) tablespoons