Word Problems In Ratio

 

Question 1

Lisa’s school has 1170 girls among 2160 students. What is the ratio of boys to girls in the school?

Solution:

Total number of students in the school = 2160

Number of girls in the school = 1170

Therefore, the number of boys in the school = Total number of students in the school - Number of girls in the school

= 2160 - 1170 = 990

 The fraction of boys to the girls in the school = 990 : 1170 = 11:13

Therefore, the ratio of boys to girls in the school is 11:13

 

Question 2

In the interschool quiz competition, the team A has scored 95 points. If the team B has made 42 points, what is the ratio of the score they have made to the points they need to win the competition?

Solution:

Score made by the team A= 95 points

Number of points required to win the competition = 95 + 1

Points already scored by the team B = 42

Therefore, the remaining points to be scored to win the competition = (95 + 1) - 42 = 54

= 42 : 54 = 7 : 9

Thus, the ratio of the score they have made to the points they need to win the competition is 7:9.