There are 625 students in the first three standards. The ratio of the number of students in the first and and second standards is 8:7 while that of students in standards second and third is 6:5. Find the number of students in each standard
Answers
Answer:
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Answer:
There are 240, 210 and 175 students in standards 1, 2, 3 respectively.
Step-by-step explanation:
Ratio of students in 1st and 2nd standards is 8:7
Let no of kids in the 2 classes be 8x and 7x. If we divide by 7, no of kids will be 8x/7 and x.
Ratio of students in 2nd and 3rd standards is 6:5. Let the number of students in the 2 classes be 6x and 5x. Divide by 6. Then no of students in the 2 classes will be x and 5x/6.
Now ratio of students in the 3 standards is 8x/7 : x : 5x/6
8x/7+x+5x/6= 625
(48x+42x+35x)/42 =625
125x/42=625
x =(625*42)/125
x=210
No of students in standard 2=210
No of students in standard 1= 8x/7=(8*210)/7=240
No of students in standard 3= (5*210)/6= 175