A School has 1025 students. A total of 400 students cannot swim. This consists of 1/5 of the boys and 4/7 of the girls. If x boys can swim, write an equation for x and solve it. How many boys are there in the school?

1 Answer
Apr 18, 2018

#x=400# . There are #500# boys in school.

Explanation:

Let the number of boys can swim be #x#

Ratio of swim and non swim among the boys is

#4/5:1/5 or 4:1 # . So total number of boys are

#x+0.25 x= 1.25 x # and total number of girls are #1025-1.25 x#

By given condition , #1/5*1.25 x + 4/7 *(1025-1.25 x)=400#

Multiplying by #7# on both sides we get,

#7*0.25 x + 4100 -5 x = 2800 or 3.25 x =1300#

#:. x=1300/3.25= 400:. 1.25 x=1.25*400=500#. Hence total

number of boys are #500# [Ans]