5.4.1: Exercises

For the following exercises, use this scenario: Kelly opened a bag of colored chocolate coated candies and counted the number of each color of candy. She found she had 9 green, 4 yellow, 13 black, 11 orange, 8 blue, and 7 red. What is the ratio of the following candy colors?

Exercise \(\PageIndex{1}\)

Red candies to green candies

Exercise \(\PageIndex{2}\)

Green candies to black candies

Exercise \(\PageIndex{3}\)

Yellow candies to black candies

Exercise \(\PageIndex{4}\)

Black candies to blue candies

Exercise \(\PageIndex{5}\)

Orange candies to non-orange candies

Exercise \(\PageIndex{6}\)

Yellow candies to non-yellow candies

Exercise \(\PageIndex{7}\)

Red candies to all candies

Exercise \(\PageIndex{8}\)

Pink candies to all candies

Exercise \(\PageIndex{9}\)

Candies with the letter ‘r’ in their name to all candies

Exercise \(\PageIndex{10}\)

Candies with the letter ‘r’ in their name to candies without the letter ‘r’ in their name

For the following exercises, solve each proportion for the unknown variable.

Exercise \(\PageIndex{11}\)

\(\frac{x}{46}=\frac{4}{8}\)

Exercise \(\PageIndex{12}\)

\(\frac{27}{x}=\frac{3.5}{14}\)

Exercise \(\PageIndex{13}\)

\(\frac{16}{7}=\frac{x}{14}\)

Exercise \(\PageIndex{14}\)

\(\frac{1}{0.8}=\frac{x}{514}\)

Exercise \(\PageIndex{15}\)

\(\frac{203}{g}=\frac{10}{22}\)

Exercise \(\PageIndex{16}\)

\(\frac{1}{29.5}=\frac{16}{m}\)

Exercise \(\PageIndex{17}\)

\(\frac{14}{95}=\frac{a}{19}\)

Exercise \(\PageIndex{18}\)

\(\frac{13}{140}=\frac{s}{2961}\)

Exercise \(\PageIndex{19}\)

\(\frac{1}{k}=\frac{69}{111}\) (Round answer to the nearest hundredth.)

Exercise \(\PageIndex{20}\)

\(\frac{p}{1}=\frac{22}{7}\) (Round answer to the nearest hundredth.)

Exercise \(\PageIndex{21}\)

Pet Paradise has 20 cats and 16 dogs. Animal Acres has 15 cats. How many dogs must be at Animal Acres so that Pet Paradise and Animal Acres have the same ratio of cats to dogs?

Exercise \(\PageIndex{22}\)

Pet Paradise has 20 cats and 16 dogs. Critter Corral has 28 dogs. How many cats must be at Critter Corral so that Pet Paradise and Critter Corral have the same ratio of cats to dogs?

Exercise \(\PageIndex{23}\)

A high school has 960 students. The ratio of students to high school teachers is \(16: 1\). How many high school teachers are at the school?

Exercise \(\PageIndex{24}\)

A high school has 960 students. The ratio of students to high school teachers is \(16: 1\). How many more teachers are needed to have a \(12: 1\) ratio at the high school of students to teachers?

Exercise \(\PageIndex{25}\)

One U.S. dollar is worth \$1.23 Canadian dollars. Bernice is traveling to Canada and wants to convert \(\$ 550\) U.S. to Canadian money. How much in Canadian money should she receive?

Exercise \(\PageIndex{26}\)

One U.S. dollar is worth \$1.23 Canadian dollars. Rene is traveling from Canada to the United States and wants to convert \(\$ 550\) of Canadian money to U.S. money. How much in U.S. money should he receive? Round your answer to the nearest cent.

Exercise \(\PageIndex{27}\)

One U.S. dollar is worth \$1.23 Canadian dollars. What is one Canadian dollar worth in U.S. funds? Round your answer to the nearest cent.

Exercise \(\PageIndex{28}\)

A salad recipe needs one cup of crushed almonds. It will serve eight people. Rashida needs to make a salad to serve 20 people. How many cups of crushed almonds does she need?

Exercise \(\PageIndex{29}\)

A salad recipe needs one cup of crushed almonds. It will serve eight people. Elmer has 4.75 cups of crushed almonds. If he uses all of the crushed almonds he has to make this salad, how many people will it serve?

Exercise \(\PageIndex{30}\)

Jorge is 6 feet tall and casts a 7-foot shadow. At the same time, a nearby tree has a shadow of 56 feet. How tall is the tree?

Exercise \(\PageIndex{31}\)

Tony can run 4 kilometers in 30 minutes. At that rate, how far could he run in 1 hour, 45 minutes?

Exercise \(\PageIndex{32}\)

Kara's parent owns a restaurant. When she came in one day, they asked her to figure out how much they were spending per ounce on steak they were buying from a vendor. They had their last four receipts, but unfortunately they spilled liquid on them and some parts were unreadable. Find out how much Kara's parent is spending per ounce on steak; then use that information to fill in the unreadable parts of the receipts (labeled \(a, b\), and \(c\) below).

Receipt	1	2	3	4
Ounces	128	460	b	541
Cost	$163.84	a	$277.76	c

Exercise \(\PageIndex{33}\)

The scale for a map reads " 1 inch \(=250\) miles." You measure the distance on the map from Fargo, North Dakota to Winnipeg, Manitoba and get 1.44 inches. How far is it from Fargo to Winnipeg?

Exercise \(\PageIndex{34}\)

Hot Wheels toy cars are said to be built on a scale of \(1: 64\) when compared to the actual car. If a real car is 18 feet long, how long should the Hot Wheels toy car be (in inches)?

Exercise \(\PageIndex{35}\)

The Eiffel Tower in Paris, France, is 1,067 feet tall. The replica Eiffel Tower in Las Vegas, Nevada, is built on the scale of 1.976:1. How tall is the replica Eiffel Tower in Las Vegas? Round your answer to the nearest foot.

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