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Linear equations

 
 
Reply Fri 28 Feb, 2014 07:13 am
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?

Explain the steps!
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timur
 
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Reply Fri 28 Feb, 2014 09:42 am
@Abhi2610,
Let X be the number of students.

The total amount paid by them for the use of the boat will be 10X.

Now, if there were 3 more students, the number of students would be (X+3).

So, the total amount paid by them for the use of the boat would be 8(X+3).

The former and the latter amount being equal, then it ensues that 10X=8X+24..

Solve for X..
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