The ratio of the number of science student to the number of arts student in the college of 1440 students in 3:5 if 36 new arts students are admitted in the college. find how many new science students may admitted so that the ratio of the the number of science students to the number of arts students may change 2:3
Answers
The ratio of number of students studying in arts, commerce and science in a college is 3 : 5 : 8.
Let the rational between the ratio of number of students be x.
Thus, the students in arts are 3x, students in commerce are 5x and students in science are 8x
The number of students in arts, commerce and science are increased by 20%, 40% and 25%
Increase in students in arts = 20/100 × 3x = 0.6x
Total students in arts after increase = 3x + 0.6x = 3.6x
Increase in students in commerce = 40/100 × 5x = 2x
Total students in commerce after increase = 5x + 2x = 7x
Increase in students in science = 25/100 × 8x = 2x
Total students in science after increase = 8x + 2x = 10x
New ratio of students in arts, commerce and science
= 3.6x : 7x : 10x
Or 1.8 : 3.5 : 5
To remove decimal, multiply the ratios with 10
18 : 35 : 50
New ratio of number of students in arts, commerce and science are 18 : 35 : 50
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