Question

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!

Answer 1

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

Answer 2

Answer:

No of boys =200

No of girls= 3/5 out of total

Let no of students=x

No of girls 3/5x given

x-3/5=Boys

No of boys =200

2x/5=200

2x=1000

x=1000/2

x=500

check

Boys+girls=total 200+300=500