Ratio Basics
What is a ratio?
A ratio is a comparison of two quantities (numbers). Comparison is the key word in this answer.
Write an equivalent ratios for 2:7
4:14 or 6:21 are two examples of correct answers
12 students are studying science in one classroom, another has 16 students working on art, and 8 students are in music. If 4 more students join the science group, what is the new ration of students studying science to art to music?
2:2:1 (answer must be in simplest form)
A store sells 12 apples, 18 oranges, and 6 pears. What is the ratio of apples to oranges to pears?
2:3:1
A recipe uses 3 cups of flour, 2 cups of sugar, and 5 cups of milk. Another recipe uses 6 cups of flour, 5 cups of sugar, and 9 cups of milk. Which recipe has a higher ratio of flour to sugar?
The first recipe: 3 cups flour to 2 cups sugar to 5 cups of milk.
What is the name of the symbol is often used to separate the two terms in a ratio?
semicolon
A recipe used 4 cups of flour for every 6 cups of sugar. If you want to make a half batch, how much sugar will you need if you use 2 cups of flour
3 cups of sugar
A classroom has a ratio of 9 to 10 year olds at a ratio of 4:5. A second classroom has a ratio of 5:6, and a third classroom has a ratio of 6:7. Which classroom has the largest number of 9 year olds?
The third classroom.
A car travels 120 miles in 3 hours. The ratio of miles to hours is 120:3. At this rate, how far will the car travel in 5 hours?
200 miles
Miles: Hours
120:3
40:1 = one unit
40x5:1x5= 200:1 or 5 units.
Weston schools have a student to teacher ratio of 24:11. Boston has a student to teacher ratio of 30:13. Which school has the lower student to teacher ratio?
Weston
Express the ratio of 9 cats to 12 dogs in simplest form.
3:4
In an animal boarding center, the ratio of the number of cats to dogs is 2:3 and the ratio of the number of dogs to staff members is 7:4. What is the ratio of the number of animals to the number of staff members?
35:12
A sports center rents out 60 tennis rackets, 80 basketballs, and 40 soccer balls on week. If the center rents 20 more basketballs and 10 less soccer balls in the second week, what is the new ratio of tennis rackets to basketball to soccer balls for the second week?
6:10:3
The ratio of the number of Joe's marbles to the number of Fred's marbles was 8:3. After Joe gave 15 marbles to Fred, they each had the same number of marbles. How many marbles did Joe have at first?
Joe had 48 marbles.
Three teams compete in a tournament. The ratios of wins to total games for Team A, Team B, and Team C are 4:5, 9:11, and 6:7, respectively. Which team won more than they lost compared to the others? (hint: think win percentage)
Team C
The ratio of dogs to cats in a shelter is 7:4. If there are 28 dogs, how many cats are there?
16
The ages of Cam, Jess, and Jules are 36, 42, and 60, respectively. Express the ratio of Jules's age to Cam's age in simplest form.
5:3
A bakery makes bread, cakes, and pies each morning in the ratio of 4 to 3 to 2, for a total of 216 baked items. The bakery then increases the number of breads by three-eighths, decreases the number of cakes by one-sixth, and increases the number of pies by five-twelfths. After these changes, what is the new ratio of bread to cakes to pies?
33:15:17
A container holds a mixture of sugar, flour, and rice in the ratio of 2:5:7. After 6 kg of sugar is added, the ratio becomes 4:5:7. What was the original total weight of the mixture?
28 Kg
A company sells three types of bags. The ratios of the sales of large, medium, and small bags are 5:3:2 for Store 1, 6:4:3 for Store 2, and 8:5:4 for Store 3. If each store sold 200 bags, which store sold the most large bags? Rounding to the nearest whole number, how many large bags did that story sell? Answer should include store number and number of large bags sold.
Store 1 sold the most large bags with 100 bags
The ratio of highlighters to felt tips in Abi's pencil case is 1:6. The ratio of felt tips to pencils is 3:2. Given that she has ten more felt tips than pencils, how many highlighters does she have?
She has 5 highlighters
The Meadowbrook School has a ratio of Lower School (LS) students to Middle School (MS) students of 5:6. The Belmont Hill School has a ratio of LS students to MS students of 7:8.
If Meadowbrook has 210 LS students and Belmont Hill has 160 MS students, which school has more total students, and how many students does each school have?
The Meadowbrook School has a larger student body with 462 students. Belmont Hill has only 300 students.
A wildlife sanctuary has 60 eagles, 60 owls, and 88 hawks. If 1/4 of the hawks migrate to another sanctuary, and twice as many owls as hawks migrate, while 20 new eagles are introduced to the sanctuary, what is the new ratio of eagles to owls to hawks?
40:8:33
A group of volunteers is split into gardening, painting, and clean-up teams in the ratio 6:8:12. Then, 18 new volunteers join the clean-up team, and 6 volunteers move from the painting team to the gardening team. After these changes, the ratio of gardening to painting to clean up becomes 3:3:7. How many volunteers are now in the painting team?
42 volunteers are now on the painting team
The ratio of green to red to yellow marbles in BOX A is 3:4:5, and the ratio of green to red to yellow marbles in BOX B is 6:7:8.
BOX A has 36 green marbles.
BOX B has 42 red marbles.
How many marbles does each box contain, and which box contains more marbles?
BOX A contains 144 marbles
BOX B contains 126 marbles
BOX A contains 18 more marbles than BOX B