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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?

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?

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. $$\frac{5}{3} \text { to } \frac{1}{3}$$

Write each of the following ratios as a fraction in lowest terms. None of the answers should contain decimals. $$0.3 \text { to } 3$$

Travel Expenses A family plans to drive their car during their annual vacation. The car can go 350 miles on a tank of gas, which is 18 gallons of gas. The vacation they have planned will cover \(1,785\) miles. How many gallons of gas will that take? Nutrition A 9-ounce serving of pasta contains 159 grams of carbohydrates. How many grams of carbohydrates do 15 ounces of this pasta contain?

Height of a Tree A tree casts a shadow 38 feet long, while a 6 -foot man casts a shadow 4 feet long. How tall is the tree?

At the beginning of a trip, the odometer on a car read \(32,567.2\) miles. At the end of the trip, it read \(32,741.8\) miles. If the trip took \(4 \frac{1}{4}\) hours, what was the rate of the car in miles per hour 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. $$\frac{8}{4}=\frac{4}{n}$$

Write each of the following ratios as a fraction in lowest terms. None of the answers should contain decimals. $$375 \mathrm{mg} \text { to } 10 \mathrm{mL}$$