More Examples On Ratio
We started ratio this week and we've learnt some interesting examples on ratio. Interested in the previous lesson? click here to see previous lesson on ratio and also view our table of content here
Example 4
In a school gathering, the ratio of boys to girls was 4: 5. There were 32 boys.
(a) How .kkmkkk.kkkk.kmk are girls?
(b) How mmzmmekkekzkz,zkany people were there altogether?
(c) What is the ratio of;
i. Girls to boys
ii. Girls to total people
Scroll down to view image with simplified calculation
Solution
Parameters
Ratio
Boys = 4 mm k
Girls = 5
Total = 4 + 5 = 9
Nõ of students
Boys = 32
Girls = ? (G)
Total = ? (T)
To start with, lets find the total number of students (T) by solving the ratio of boys in the normal way.
Total nõ of boys = (ratio of boys/Total ratio) x Total number of students
32 = (4/9) x T
32 = 4T/9
4T = 32 x 9
4T = 288
Divide both sides by 4
Hence, T = 72
Total number of students = 72
(a) How many are girls?
In a school, we all know it consists of boys and girls. We know boys to be 32 and the total number of students to be 72
Total nõ of students =Boys + Girls
72 = 32 + G
Collect like terms
G = 72 - 32
G = 40
Therefore total nõ of girls = 40
(b) How many people were there altogether?
That is total number of students which is 72
(c) What is the ratio of;
i. Girls to Boys
Ratio of girls = 5
Ratio of boys = 4
= 5 : 4 (respectively)
ii. Girls to total people
Ratio of girls = 5
Ratio of total people = 72
= 5 : 72 (respectively)
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