On a college, out of 43 20 students, 2300 ale In girls. Find the ratio of (1) the number of boys to the number of girls c) Number of Gials to total number of students. i Alumber of roys te total numbers of the clients.
Answers
Answer:
101/115
Step-by-step explanation:
Total number of students = 4320
Number of girls = 2300
Number of boys = Number of students - Number of girls
= 4320 – 2300
= 2020
(a) Ratio of number of girls to the total number of students = Number of girls / Total number of students
= 2300 / 4320
The factors of 2300 are 2 × 2 × 5 × 5 × 23 and the factors of 4320 are 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 5
Now, the HCF of 2300 and 4320 is 2 × 2 × 5 = 20.
= (2 × 2 × 5 × 115) / (2 × 2 × 5 × 216)
= 115 / 216
Therefore, 115 : 216 is the ratio of the number of girls to the total number of students.
(b) Ratio of number of boys to the number of girls
= Number of boys / Number of girls
= 2020 / 2300
= (2 × 2 × 5 × 101) / (2 × 2 × 5 × 115)
= 101 / 115
Total students= 4,320
Number of girls= 2,300
Number of boys= 4,320- 2,300= 2,020
The number of boys to the number of girls= 2020 : 2300
Number of Girls to the total number of students= 2300 : 4320
Number of boys to the total number of the students= 2020 : 4320
Hope it helps :)