Ratio Basics
Simplify the ratio 6:9.
2:3
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 a ratio?
A ratio is a comparison of two quantities (numbers). Comparison is the key word in this answer.
A car travels 120 miles in 3 hours. The ratio of miles to hours is 120:3.At this rate, how far with the car travel in 5 hours? The ratio of miles to hours is 120:3.
200 miles
Miles: Hours
120:3
40:1 = one unit
40x5:1x5= 200:1 or 5 units.
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 box contains red, blue, and green balls in the ratio of 5:4:2. If there are 44 balls in total, how many blue balls are in the box?
There are 16 blue balls
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
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 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
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 bakery makes 48 loaves of break, 36 cakes, and 24 pies each morning. If the bakery increases the number of pies by 1/2, and decreases the number of cakes by 1/4, what is the new ratio of break to cakes to pies?
16:9:12
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 dogs to cats in a shelter is 7:4. If there are 28 dogs, how many cats are there?
16
The Meadowbrook School has a ratio of Lower School (LS) students to Middle School (MS) at 5:6 and The Belmont Hill School has a ratio of LS to MS students at 7:8. If Meadowbrook has 150 LS students and Belmont Hill has 112 MS students, which school has more total students and how many students does each school have?
The Meadowbrook with 330 students. Belmont Hill has only 210. You must have all three parts to get this answer correct.
A wildlife sanctuary has 60 eagles, 45 owls, and 90 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 eaagles to owls to hawks?
16:1:3
A group of volunteers is split into teams that work on gardening, painting, and clean-up in the ratio 6:8:10. If 20 more volunteers join the clean-up team, the new ratio becomes 3:4:5. How many volunteers are now in the painting team?
64 volunteers are now on the paintin team
The ratio of green to red to yellow marbles in BOX A is 3:4:5. BOX B has the ratio 6:7:8. If the BOX A box has 36 green marbles, and the BOX B has 42 red marbles, how many marbles does each box contain?
BOX A = 144
BOX B = 126