# Answer to Question #3249 in Algebra for NIKITA CHOPRA

Question #3249

In a class 40% of student like music 3/15 like dance 1/10 like cricket and not painting. The remaining 40 student like painting. Find the no of student who like dance.

Expert's answer

Let's denote the whole amount of students as X. Thus

40/100 X = 0.4X like musik, 3/15X = 0.2X& like dance, 1/10X = 0.1X & like cricket, and X(1 - 0.4 - 0.2 - 0.1) = 40& like painting.

Let's simplify the lat expression:

X(1 - 0.4 - 0.2 - 0.1) = 40

0.3 X = 40

X = 40/0.3 = 133.33

May be there is some mistake in the conditions of the task because the number& of students should be the whole number. The number of students who like dance is 0.2X.

40/100 X = 0.4X like musik, 3/15X = 0.2X& like dance, 1/10X = 0.1X & like cricket, and X(1 - 0.4 - 0.2 - 0.1) = 40& like painting.

Let's simplify the lat expression:

X(1 - 0.4 - 0.2 - 0.1) = 40

0.3 X = 40

X = 40/0.3 = 133.33

May be there is some mistake in the conditions of the task because the number& of students should be the whole number. The number of students who like dance is 0.2X.

## Comments

Assignment Expert30.06.11, 12:07You are welcome!

NIKITA CHOPRA29.06.11, 19:05Thank u so much...you have solved my problem ....

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