Question

1. a chef uses 4 1/2 cups of broth for 10 servings of soup. how much broth is used in one - serving of soup? let s represent the amount of broth.

equivalent ratios: 4 1/2 / 10 = s / 1
______ cups of broth per serving

1. lexie biked 50 1/2 miles in 4 hours. how many miles did she bike per hour? let m represent the number of miles.

equivalent ratios:
______ miles per hour

1. 24 1/2 gallons of water drained from a pool in 25 minutes. how much water drained from the pool each minute? let g represent the number of gallons.

equivalent ratios:
______ gallons per minute
look up each word in an online or print dictionary. circle the syllable that is stressed. then, write the words part of speech and definition on the line. if it has more than one definition and part of speech, choose one.

1. facilitate
2. mezzanine
3. accomplice
4. patriarch
5. confiscate
6. utilitarian

Explanation:

1.

Step1: Convert the mixed - number to an improper fraction

The amount of broth is $4\frac{1}{2}=\frac{4\times2 + 1}{2}=\frac{9}{2}$ cups for 10 servings. Let $s$ be the amount of broth per serving. The equivalent ratio is $\frac{\frac{9}{2}}{10}=\frac{s}{1}$.

Step2: Solve for $s$

We know that $\frac{\frac{9}{2}}{10}=\frac{9}{2}\div10=\frac{9}{2}\times\frac{1}{10}=\frac{9}{20}$ cups per serving.

Step1: Convert the mixed - number to an improper fraction

Lexi biked $50\frac{1}{2}=\frac{50\times2+1}{2}=\frac{101}{2}$ miles in 4 hours. Let $m$ be the number of miles per hour. The equivalent ratio is $\frac{\frac{101}{2}}{4}=\frac{m}{1}$.

Step2: Solve for $m$

$\frac{\frac{101}{2}}{4}=\frac{101}{2}\div4=\frac{101}{2}\times\frac{1}{4}=\frac{101}{8} = 12\frac{5}{8}$ miles per hour.

Step1: Convert the mixed - number to an improper fraction

The amount of water is $124\frac{1}{2}=\frac{124\times2 + 1}{2}=\frac{249}{2}$ gallons drained in 25 minutes. Let $g$ be the number of gallons per minute. The equivalent ratio is $\frac{\frac{249}{2}}{25}=\frac{g}{1}$.

Step2: Solve for $g$

$\frac{\frac{249}{2}}{25}=\frac{249}{2}\div25=\frac{249}{2}\times\frac{1}{25}=\frac{249}{50}=4.98$ gallons per minute.

Answer:

$\frac{9}{20}$

2.