Understanding Ratios

Show your work for each problem.

1.
A bag has 3 red balls and 5 blue balls. What is the ratio of red to blue balls?
1. a)
2. b)
3. c)
4. d)
Answer:
Red to blue means red first, so . The answer would be blue to red.
2.
Which ratio is equivalent to ?
1. a)
2. b)
3. c)
4. d)
Answer:
Divide both 4 and 6 by 2: and . So .
3.
Simplify the ratio to its lowest terms. Write your answer as a:b (example: 2:3)
Answer: 2:3
GCF of 10 and 15 is 5. Divide both: , . Answer: .
4.
In a garden, there are 8 roses and 12 tulips. What is the simplified ratio of roses to tulips? (Write as a:b)
Answer: 2:3
GCF of 8 and 12 is 4. and . The simplified ratio is .
5.
The ratio of boys to girls in a class is . If there are 12 boys, how many girls are there?
1. a)16
2. b)9
3. c)15
4. d)12
Answer: 16
Multiplier = . Girls = .
6.
A recipe uses flour and sugar in a ratio of . If you use 20 cups of flour, how many cups of sugar do you need?
Answer: 8
Multiplier = . Sugar = cups.
7.
In a parking lot, the ratio of cars to motorcycles is . If there are 21 cars, how many motorcycles are there?
Answer: 9
. Motorcycles = .
8.
A fruit salad has apples, bananas, and oranges in the ratio . If there are 30 pieces of fruit total, how many of each fruit are there?
Answer: 6, 9, 15
1. What is the total number of parts in the ratio ? 10
2. How many fruits per part? (30 divided by total parts) 3
3. How many apples? (2 parts) 6
4. How many bananas? (3 parts) 9
5. How many oranges? (5 parts) 15
9.
Write the ratio 15 to 25 in its simplest form.
Answer: 3:5
1. Write the ratio with a colon 15:25
2. What is the GCF of 15 and 25? 5
3. Divide 15 by 5 3
4. Divide 25 by 5 5
5. Write the simplified ratio 3:5
10.
The ratio of wins to losses for a team is . They played 24 games total (no ties). How many games did they win?
Answer: 15
1. What is the total number of parts? () 8
2. How many games per part? () 3
3. How many wins? () 15
11.
Which ratio represents more blue paint per can: (blue:white) or (blue:white)?
1. a)
2. b)
3. c)They are equal
4. d)Cannot determine
Answer:
means blue. means blue. Since and , has more blue.
12.
A class has boys and girls in the ratio . If 3 more boys join, the ratio becomes . How many girls are in the class?
Answer: 15
Let boys = , girls = . After adding 3: , so . Girls = .
13.
Divide 56 euros between Anna and Ben in the ratio . How much does each person get?
Answer: 21, 35
1. What is the total number of parts? 8
2. How many euros per part? 7
3. How much does Anna get (3 parts)? 21
4. How much does Ben get (5 parts)? 35
14.
The ratio of cats to dogs at a shelter is . If there are 45 animals total, how many more dogs than cats are there?
Answer: 25
1. Total parts in ratio ? 9
2. Animals per part? 5
3. Number of cats (2 parts)? 10
4. Number of dogs (7 parts)? 35
5. How many more dogs than cats? 25
15.
What type of ratio is this: "12 students out of 30 total"?
1. a)Whole-to-part
2. b)Equivalent
3. c)Part-to-part
4. d)Part-to-whole
Answer: Part-to-whole
12 students is a PART of the WHOLE class of 30. This is a part-to-whole ratio.