Home
Class 14
MATHS
The ratio of the number of girls to the ...

The ratio of the number of girls to the number of boys in a town is 90%. If the total number of boys and girls in the town is 190, how many girls are in the town?

A

100

B

110

C

90

D

80

Text Solution

AI Generated Solution

The correct Answer is:
To solve the problem, we need to find the number of girls in the town given the ratio of girls to boys and the total number of children. ### Step-by-step Solution: 1. **Understand the Ratio**: The ratio of the number of girls (G) to the number of boys (B) is given as 90%. This can be expressed as: \[ \frac{G}{B} = 0.9 \quad \text{or} \quad G = 0.9B \] 2. **Express Total Children**: The total number of boys and girls in the town is given as 190. Therefore, we can write: \[ G + B = 190 \] 3. **Substitute the Ratio into the Total**: Now, substitute \( G \) from the first equation into the total equation: \[ 0.9B + B = 190 \] 4. **Combine Like Terms**: This simplifies to: \[ 1.9B = 190 \] 5. **Solve for B**: To find the number of boys, divide both sides by 1.9: \[ B = \frac{190}{1.9} = 100 \] 6. **Find the Number of Girls**: Now that we have the number of boys, we can find the number of girls using the ratio: \[ G = 0.9B = 0.9 \times 100 = 90 \] 7. **Conclusion**: Therefore, the number of girls in the town is: \[ \text{Number of girls} = 90 \] ### Final Answer: The number of girls in the town is **90**.

To solve the problem, we need to find the number of girls in the town given the ratio of girls to boys and the total number of children. ### Step-by-step Solution: 1. **Understand the Ratio**: The ratio of the number of girls (G) to the number of boys (B) is given as 90%. This can be expressed as: \[ \frac{G}{B} = 0.9 \quad \text{or} \quad G = 0.9B \] ...
Promotional Banner

Topper's Solved these Questions

  • ARITHMETICAL PROBLEMS

    KIRAN PUBLICATION|Exercise TYPE-VII|6 Videos
  • ARITHMETICAL PROBLEMS

    KIRAN PUBLICATION|Exercise TYPE-VIII|20 Videos
  • ARITHMETICAL PROBLEMS

    KIRAN PUBLICATION|Exercise TYPE-V|16 Videos
  • ALLIGATION OR MIXTURES

    KIRAN PUBLICATION|Exercise TEST YOURSELF|27 Videos
  • AVERAGE

    KIRAN PUBLICATION|Exercise TYPE-X|48 Videos

Similar Questions

Explore conceptually related problems

The ratio of the number of boys and the number of girl in a class is 9:11. If the number of boys is 18, then the number of girls is ____.

The ratio of the number of boys to that of girls in a school is 9:11. If the number of girls in the school is 2035,find: number of boys in school

There are 20 girls and 15 boys in a class.(a) What is the ratio of number of girls to the number of boys? (b) What is the ratio of number of goys? (b) What is the ratio of in the class?

There are some students in an auditorium, some of them are dressed in white and the others are drcssed in bluc. The ratio of the number of boys dressed in white to the number of girls dressed in blue is 4 : 3 and the ratio of the total number of girls dressed in white to the number of boys dressed in blue is 4 : 5 . The ratio of the total number of boys and girls dressed in white to the total number of boys and girls dressed in blue is 12 : 13 . Find the ratio of the total number of boys to that of girls in the auditorium.

The ratio of the number of boys to that of girls in a school is 9:11. If the number of girls in the school is 2035,find: number of students in school

The ratio of the number oif boys to that of girls in a school is 9:11 . If the number of girls in the school is 2035, find: a. number of boys is school. b. number of students in school.

In a class of 60 students, the number of girls is one third the number of boys. Find the number of girls and boys in the class.