the ratio boys and girls in a school is 12:5 if tha number of girls is 840 the total strength of the school?
Answers
Answer:
120 girls must be added, to obtain 1:1 ratio for boys and girls
Expl: total number of students = 720
Ratio of boys and girls = 7:5
Ratio 7:5 → there are 7x boys and 5x girls.
the total number of students = 720 → 7x+5x
7x = total number of boys
5x= total number of girls
Total number of boys and girls = 720
→ 7x+5x = 720
12x = 720
x = 720/12
x = 60
Now total boys = 7*60 = 420
Total number of girls = 5*60 = 300
420 : 300 → 7 : 5 ( → verification)
So in order to make the ratio 1:1 the number of girls must be equal to number of boys..
Therefore 120 girls are added for 1:1 ratio
Step-by-step explanation:
Total Strength of School
Answer: Total strength of school is 2856.
Explanation:
Given that ratio of boys and girls in a school is 12:5
And number of girls = 840
Need to determine total strength of the school.
As ratio of boys and girls is 12 : 5 , lets assume number of boys = 12x and number of girls = 5x .
Total strength of school = number of boys + number of girls
⇒ Total strength of school = 12x + 5x = 17x
As number of girls = 840
⇒ 5x = 840
⇒ x = 840/5 = 168
As total strength = 17x
⇒ total strenght of school = 17 × 168 = 2856
Hence total strength of school is 2856.
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