Question

A milkman has some buffaloes, cows,goats.he has goats equal to 5/2 times the number of cows,cows equal to3/2 times the number of buffaloes,if there are 150 animals with the milkman how many of each category has he with him

Answer 1

Step-by-step explanation:

Let buffaloes number be X

Cows Number = 3/2 of X( buffaloes)

Goats number = 5/2*(3/2*X )(cows)

Total animals = 150

Equation

= X + (3/2*X)+ {5/2* (3/2*X)}= 150

X+ 3x/2 + {5/2*3x/2} = 150

X + 3x/2 + 15x/4 = 150

4x/4 + 6x/4 + 15x/4 = 150

25x/4= 150

X= 150*4/25

X = 6 * 4

X = 24

Number of buffaloes = 24

Number of cows= 3/2* 24

= 36

Number of goats= 5/2*36

= 90

Check

Their total sum

= 90 + 24 + 36 = 150