# 1.In a school, 3/5 of the students are girls. If the number of boys in the school is 200, find the total number of students in school.2.Juliet traveled 350/5 km by car. 151 km by bus and still 1/2 of the journey is left. Find the total distance Juliet has to travel.RULE: I want explanation with steps!

2
by sheela127

2014-04-17T19:32:01+05:30
1)..Let the no. of students in the class be x.
Then 3/5x=girls.
x-3/5x=boys.
5x-3x/5=2x/5=boys.
no.of boys=200
2x/5=200
2x=200*5
x=1000/2
x=500
Total no. of stdents in the class are 500.

2)..Let he distance traveled be x.
distance traveled by car=350/5km=70km
distance traveled by bus=151km
remained distance=x-(70+151)=x-221...................(i)
1/2 distance remained.
Therefore remained distance=1/2x..........(ii)
Now,equation(i)=equation(ii)
x-221=1/2x
x=221+1/2x
x-1/2x=221
1/2x=221
x=221*2
x=442
Total distance traveled is 442km and remained distance is 1/2*442=221km

2014-04-18T20:43:07+05:30
1.The total number of students=500
2.Juliet has to travel 442km