Chapter 6

Solve each of the following word problems by translating the statement into a proportion. Be sure to show the proportion used in each case. [Examples \(1-4]\) Distance A woman drives her car 235 miles in 5 hours. At this rate how far will she travel in 7 hours?

Write each of the following ratios as a fraction in lowest terms. None of the answers should contain decimals. $$8 \quad to\quad 6$$

Express each of the following rates as a ratio with the given units. Miles/Hour A car travels 220 miles in 4 hours. What is the rate of the car in miles per hour? (IMAGE CANNOT COPY)

For each of the following proportions, name the means, name the extremes, and show that the product of the means is equal to the product of the extremes. $$\frac{1}{3}=\frac{5}{15}$$

Solve each of the following word problems by translating the statement into a proportion. Be sure to show the proportion used in each case. [Examples \(1-4]\) Distance An airplane flies \(1,260\) miles in 3 hours. How far will it fly in 5 hours?

Write each of the following ratios as a fraction in lowest terms. None of the answers should contain decimals. $$6 \quad to\quad 8$$

Express each of the following rates as a ratio with the given units. Miles/Hour A train travels 360 miles in 5 hours. What is the rate of the train in miles per hour?

For each of the following proportions, name the means, name the extremes, and show that the product of the means is equal to the product of the extremes. $$\frac{6}{12}=\frac{1}{2}$$

Write each of the following ratios as a fraction in lowest terms. None of the answers should contain decimals. $$64 \quad to\quad 12$$

Solve each of the following word problems by translating the statement into a proportion. Be sure to show the proportion used in each case. [Examples \(1-4]\) Basketball A basketball player scores 162 points in 9 games. At this rate how many points will he score in 20 games?

Express each of the following rates as a ratio with the given units. Kilometers/Hour It takes a car 3 hours to travel 252 kilometers. What is the rate in kilometers per hour?

Write each of the following ratios as a fraction in lowest terms. None of the answers should contain decimals. $$12 \quad to\quad 64$$

Solve each of the following word problems by translating the statement into a proportion. Be sure to show the proportion used in each case. [Examples \(1-4]\) Football In the first 4 games of the season, a football team scores a total of 68 points. At this rate how many points will the team score in 11 games?

Express each of the following rates as a ratio with the given units. Kilometers/Hour In 6 hours an airplane travels \(4,200\) kilometers. What is the rate of the airplane in kilometers per hour?

For each of the following proportions, name the means, name the extremes, and show that the product of the means is equal to the product of the extremes. $$\frac{5}{3}=\frac{10}{16}$$

Write each of the following ratios as a fraction in lowest terms. None of the answers should contain decimals. $$100 \quad to\quad 250$$

Solve each of the following word problems by translating the statement into a proportion. Be sure to show the proportion used in each case. [Examples \(1-4]\) Mixture A solution contains 8 pints of antifreeze and 5 pints of water. How many pints of water must be added to 24 pints of antifreeze to get a solution with the same concentration?

Express each of the following rates as a ratio with the given units. Gallons/Second The flow of water from a water faucet can fill a 3 -gallon container in 15 seconds. Give the ratio of gallons to seconds as a rate in gallons per second.

For each of the following proportions, name the means, name the extremes, and show that the product of the means is equal to the product of the extremes. $$\frac{\frac{1}{3}}{\frac{1}{2}}=\frac{4}{6}$$

Write each of the following ratios as a fraction in lowest terms. None of the answers should contain decimals. $$250 \quad to\quad 100$$

Solve each of the following word problems by translating the statement into a proportion. Be sure to show the proportion used in each case. [Examples \(1-4]\) Nutrition If 10 ounces of a certain breakfast cereal contain 3 ounces of sugar, how many ounces of sugar do 25 ounces of the same cereal contain?

Express each of the following rates as a ratio with the given units. Gallons/Minute A 225-gallon drum is filled in 3 minutes. What is the rate in gallons per minute?

For each of the following proportions, name the means, name the extremes, and show that the product of the means is equal to the product of the extremes. $$\frac{2}{\frac{1}{4}}=\frac{4}{\frac{1}{2}}$$

Write each of the following ratios as a fraction in lowest terms. None of the answers should contain decimals. $$13 \quad to\quad 26$$

Solve each of the following word problems by translating the statement into a proportion. Be sure to show the proportion used in each case. [Examples \(1-4]\) Map Reading The scale on a map indicates that 1 inch corresponds to an actual distance of 95 miles. Two cities are 4.5 inches apart on the map. What is the actual distance between the two cities?

Express each of the following rates as a ratio with the given units. Liters/Minute It takes 4 minutes to fill a 56 -liter gas tank. What is the rate in liters per minute?

For each of the following proportions, name the means, name the extremes, and show that the product of the means is equal to the product of the extremes. $$\frac{0.5}{5}=\frac{1}{10}$$

Write each of the following ratios as a fraction in lowest terms. None of the answers should contain decimals. $$36 \quad to\quad 18$$

Solve each of the following word problems by translating the statement into a proportion. Be sure to show the proportion used in each case. [Examples \(1-4]\) Map Reading A map is drawn so that every 2.5 inches on the map corresponds to an actual distance of 100 miles. If the actual distance between two cities is 350 miles, how far apart are they on the map?

Express each of the following rates as a ratio with the given units. Liters/Hour The gas tank on a car holds 60 liters of gas. At the beginning of a 6 -hour trip, the tank is full. At the end of the trip, it contains only 12 liters. What is the rate at which the car uses gas in liters per hour?

For each of the following proportions, name the means, name the extremes, and show that the product of the means is equal to the product of the extremes. $$\frac{0.3}{1.2}=\frac{1}{4}$$

Write each of the following ratios as a fraction in lowest terms. None of the answers should contain decimals. $$\frac{3}{4} \operatorname{to} \frac{1}{4}$$

Solve each of the following word problems by translating the statement into a proportion. Be sure to show the proportion used in each case. [Examples \(1-4]\) Farming A farmer knows that of every 50 eggs his chickens lay, only 45 will be marketable. If his chickens lay \(1,000\) eggs in a week, how many of them will be marketable?

Express each of the following rates as a ratio with the given units. Miles/Gallon A car travels 95 miles on 5 gallons of gas. Give the ratio of miles to gallons as a rate in miles per gallon. (IMAGE CANNOT COPY)

Find the missing term in each of the following proportions. Set up each problem like the examples in this section. Write your answers as fractions in lowest terms. $$\frac{2}{5}=\frac{4}{x}$$

Write each of the following ratios as a fraction in lowest terms. None of the answers should contain decimals. $$\frac{5}{8} \text { to } \frac{3}{8}$$

Solve each of the following word problems by translating the statement into a proportion. Be sure to show the proportion used in each case. [Examples \(1-4]\) Manufacturing Of every 17 parts manufactured by a certain machine, only 1 will be defective. How many parts were manufactured by the machine if 8 defective parts were found?

Express each of the following rates as a ratio with the given units. Miles/Gallon On a 384 -mile trip, an economy car uses 8 gallons of gas. Give this as a rate in miles per gallon.

Find the missing term in each of the following proportions. Set up each problem like the examples in this section. Write your answers as fractions in lowest terms. $$\frac{3}{8}=\frac{9}{x}$$

Write each of the following ratios as a fraction in lowest terms. None of the answers should contain decimals. $$\frac{7}{3} \text { to } \frac{6}{3}$$

Solve each of the following word problems by translating the statement into a proportion. Be sure to show the proportion used in each case. [Examples \(1-4]\) Nursing A patient is given a prescription of 10 pills. The total prescription contains 355 milligrams. How many milligrams is contained in each pill?

Express each of the following rates as a ratio with the given units. Miles/Liter The gas tank on a car has a capacity of 75 liters. On a full tank of gas, the car travels 325 miles. What is the gas mileage in miles per liter?

Find the missing term in each of the following proportions. Set up each problem like the examples in this section. Write your answers as fractions in lowest terms. $$\frac{1}{y}=\frac{5}{12}$$

Write each of the following ratios as a fraction in lowest terms. None of the answers should contain decimals. $$\frac{9}{5} \text { to } \frac{11}{5}$$

Solve each of the following word problems by translating the statement into a proportion. Be sure to show the proportion used in each case. [Examples \(1-4]\) Nursing A child is given a prescription for \(9 \mathrm{mg}\) of a drug. If she has to take 3 chewable tablets, what is the strength of each tablet?

Express each of the following rates as a ratio with the given units. Miles/Liter A car pulling a trailer can travel 105 miles on 70 liters of gas. What is the gas mileage in miles per liter?

Find the missing term in each of the following proportions. Set up each problem like the examples in this section. Write your answers as fractions in lowest terms. $$\frac{2}{y}=\frac{6}{10}$$

Write each of the following ratios as a fraction in lowest terms. None of the answers should contain decimals. $$\frac{6}{5} \text { to } \frac{6}{7}$$

Solve each of the following word problems by translating the statement into a proportion. Be sure to show the proportion used in each case. [Examples \(1-4]\) Nursing An oral medication has a dosage strength of \(275 \mathrm{mg} / 5 \mathrm{mL} .\) If a patient takes a dosage of \(300 \mathrm{mg}\) how many milliliters does he take? Round to the nearest tenth

Find the missing term in each of the following proportions. Set up each problem like the examples in this section. Write your answers as fractions in lowest terms. $$\frac{x}{4}=\frac{3}{8}$$