Question

18. On a school picnic, a group of students agree to pay equally for the use of a full boat
and pay 10 each. If there had been 3 more students in the group, each would have
paid 2 less. How many students were there in the group
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Answer 1

║⊕ANSWER⊕║

1 ) Let the number of students in a group = x

Amount each student paid for boat = Rs 10

Total amount paid by the group to the boat = Rs10x -----( 1 )

2) If 3 students joins the group then the total students = ( x + 3 )

Fare of each student = ( 10 - 2 ) = Rs 8

Now total amount paid by the new group = Rs (x + 3 ) 8 = 8x + 24 ----( 2 )

According to the problem given ,

( 1 ) = ( 2 )

10x = 8x + 24

10x - 8x = 24

2x = 24

x = 24/2

x = 12

Therefore ,

Number of students in the boat = x = 12