On a school picnic, a group of students agree to pay equally for the u

1.	On a school picnic, a group of students agree to pay equally for the use of a full boatand pay 10 each. If there had ben 3 more students in the group, each would havepaid 32 less. How many students swere there in the group?
Answer» 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

On a school picnic, a group of students agree to pay equally for the use of a full boatand pay 10 each. If there had ben 3 more students in the group, each would havepaid 32 less. How many students swere there in the group?

Answer»

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