Ratio Word Problems Word Problems online exercise for | Live ... - Free Printable
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Step-by-step solution for: Ratio Word Problems Word Problems online exercise for | Live ...
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Show Answer Key & Explanations
Step-by-step solution for: Ratio Word Problems Word Problems online exercise for | Live ...
Let's solve each problem step by step using the given ratios.
---
The ratio of boys to girls is 1:1. If there are 250 boys, how many girls are there?
#### Solution:
- The ratio of boys to girls is 1:1, which means the number of boys is equal to the number of girls.
- If there are 250 boys, then the number of girls must also be 250.
Answer:
$$
\boxed{250}
$$
---
The ratio of students with blond hair to students with brown or black hair is 1:2. If there are 212 students with brown or black hair, how many students have blond hair?
#### Solution:
- The ratio of students with blond hair to students with brown or black hair is 1:2.
- Let the number of students with blond hair be \( x \).
- According to the ratio, for every 1 student with blond hair, there are 2 students with brown or black hair.
- We are given that there are 212 students with brown or black hair. Therefore:
$$
\frac{x}{212} = \frac{1}{2}
$$
- Solving for \( x \):
$$
x = \frac{212}{2} = 106
$$
Answer:
$$
\boxed{106}
$$
---
60 students are in grade 1, but only 30 students are in kindergarten. What is the ratio of grade 1 students to kindergarten students?
#### Solution:
- The number of students in grade 1 is 60.
- The number of students in kindergarten is 30.
- The ratio of grade 1 students to kindergarten students is:
$$
\frac{\text{Grade 1 students}}{\text{Kindergarten students}} = \frac{60}{30} = 2:1
$$
Answer:
$$
\boxed{2:1}
$$
---
The ratio of students who made the honor roll to the total number of students is 1:50. If there are 500 students in total, how many made the honor roll?
#### Solution:
- The ratio of students who made the honor roll to the total number of students is 1:50.
- This means for every 50 students, 1 student made the honor roll.
- If there are 500 students in total, we can find the number of students who made the honor roll by dividing the total number of students by 50:
$$
\text{Number of students who made the honor roll} = \frac{500}{50} = 10
$$
Answer:
$$
\boxed{10}
$$
---
12 students play on the school’s basketball team and 36 students play on the football team. What is the ratio of basketball players to football players?
#### Solution:
- The number of students playing basketball is 12.
- The number of students playing football is 36.
- The ratio of basketball players to football players is:
$$
\frac{\text{Basketball players}}{\text{Football players}} = \frac{12}{36} = \frac{1}{3}
$$
- Simplifying the ratio gives 1:3.
Answer:
$$
\boxed{1:3}
$$
---
The ratio of students getting an "A" in math to students getting a "B" is 1:2. If 22 students received an "A", how many received a "B"?
#### Solution:
- The ratio of students getting an "A" to students getting a "B" is 1:2.
- This means for every 1 student who got an "A", 2 students got a "B".
- We are given that 22 students received an "A". Let the number of students who received a "B" be \( x \). According to the ratio:
$$
\frac{22}{x} = \frac{1}{2}
$$
- Solving for \( x \):
$$
x = 22 \times 2 = 44
$$
Answer:
$$
\boxed{44}
$$
---
1. \( \boxed{250} \)
2. \( \boxed{106} \)
3. \( \boxed{2:1} \)
4. \( \boxed{10} \)
5. \( \boxed{1:3} \)
6. \( \boxed{44} \)
---
Problem 1:
The ratio of boys to girls is 1:1. If there are 250 boys, how many girls are there?
#### Solution:
- The ratio of boys to girls is 1:1, which means the number of boys is equal to the number of girls.
- If there are 250 boys, then the number of girls must also be 250.
Answer:
$$
\boxed{250}
$$
---
Problem 2:
The ratio of students with blond hair to students with brown or black hair is 1:2. If there are 212 students with brown or black hair, how many students have blond hair?
#### Solution:
- The ratio of students with blond hair to students with brown or black hair is 1:2.
- Let the number of students with blond hair be \( x \).
- According to the ratio, for every 1 student with blond hair, there are 2 students with brown or black hair.
- We are given that there are 212 students with brown or black hair. Therefore:
$$
\frac{x}{212} = \frac{1}{2}
$$
- Solving for \( x \):
$$
x = \frac{212}{2} = 106
$$
Answer:
$$
\boxed{106}
$$
---
Problem 3:
60 students are in grade 1, but only 30 students are in kindergarten. What is the ratio of grade 1 students to kindergarten students?
#### Solution:
- The number of students in grade 1 is 60.
- The number of students in kindergarten is 30.
- The ratio of grade 1 students to kindergarten students is:
$$
\frac{\text{Grade 1 students}}{\text{Kindergarten students}} = \frac{60}{30} = 2:1
$$
Answer:
$$
\boxed{2:1}
$$
---
Problem 4:
The ratio of students who made the honor roll to the total number of students is 1:50. If there are 500 students in total, how many made the honor roll?
#### Solution:
- The ratio of students who made the honor roll to the total number of students is 1:50.
- This means for every 50 students, 1 student made the honor roll.
- If there are 500 students in total, we can find the number of students who made the honor roll by dividing the total number of students by 50:
$$
\text{Number of students who made the honor roll} = \frac{500}{50} = 10
$$
Answer:
$$
\boxed{10}
$$
---
Problem 5:
12 students play on the school’s basketball team and 36 students play on the football team. What is the ratio of basketball players to football players?
#### Solution:
- The number of students playing basketball is 12.
- The number of students playing football is 36.
- The ratio of basketball players to football players is:
$$
\frac{\text{Basketball players}}{\text{Football players}} = \frac{12}{36} = \frac{1}{3}
$$
- Simplifying the ratio gives 1:3.
Answer:
$$
\boxed{1:3}
$$
---
Problem 6:
The ratio of students getting an "A" in math to students getting a "B" is 1:2. If 22 students received an "A", how many received a "B"?
#### Solution:
- The ratio of students getting an "A" to students getting a "B" is 1:2.
- This means for every 1 student who got an "A", 2 students got a "B".
- We are given that 22 students received an "A". Let the number of students who received a "B" be \( x \). According to the ratio:
$$
\frac{22}{x} = \frac{1}{2}
$$
- Solving for \( x \):
$$
x = 22 \times 2 = 44
$$
Answer:
$$
\boxed{44}
$$
---
Final Answers:
1. \( \boxed{250} \)
2. \( \boxed{106} \)
3. \( \boxed{2:1} \)
4. \( \boxed{10} \)
5. \( \boxed{1:3} \)
6. \( \boxed{44} \)
Parent Tip: Review the logic above to help your child master the concept of ratios word problems worksheet.