Question

dav school wants to give 15 prizes to its students on the value of discipline , politeness, punctuality. if the no of prizes for politeness is five sixth of the no of prizes for discipline and the no of prizes for punctuality is four fifths of that of no of prizes of politeness then find the no of prizes for each value

Answer 1

Let the number given to students of discipline be 'x'

Let the number given to students of politeness be 'y'

Let the number given to students of punctuality be 'z'

Total number of prizes = 15

i.e x+y+z = 15 ---------------(1)

Given z = 4y/5-------------(2)

Substitute z in (1)

=> x + y + 4y/5 = 15 ----------(3)

Given y = 5x/6 -------------(4)

Substitute y in (3)

=> x + 5x/6 + {4(5x/6)}/5 = 15

=> x + 5x/6 + 20x/30 = 15

=> x + 5x/6 + 2x/3 = 15

=> (6x+5x+4x)/6 = 15

=> 15x/6 = 15

=> 15x = 90

=> x = 90/15

=> x = 6

Substitute the value of x in (4)

=> y = (5*6)/6

=> y = 5

Substitute the value of y in (2)

=> z = (4*5)/5

=> z = 4

Answer

6 prizes are for students of discipline

5 prizes are for students of politeness

4 prizes are for students of punctuality

Hope it helps

Answer 2

hope its help you very well