SOLUTION: On a school picnic, a group of boys agree to pay equally for the use of a boat and each pays $ 40. If there had been 5 more boys in the group, each would have to pay $ 10 less. Ho

Algebra ->  Linear-equations -> SOLUTION: On a school picnic, a group of boys agree to pay equally for the use of a boat and each pays $ 40. If there had been 5 more boys in the group, each would have to pay $ 10 less. Ho      Log On


   

Question 700035: On a school picnic, a group of boys agree to pay equally for the use of a boat and each pays
$ 40. If there had been 5 more boys in the group, each would have to pay $ 10 less. How
many boys were in the group?
Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
You can put this solution on YOUR website!
On a school picnic, a group of boys agree to pay equally for the use of a boat and each pays $ 40.
If there had been 5 more boys in the group, each would have to pay $ 10 less.
How many boys were in the group?
:
let b = no. of boys in the group
then
40b = total amt paid for the use of the boat
:
40 - %2840b%29%2F%28%28b%2B5%29%29 = 10
:
-%2840b%29%2F%28%28b%2B5%29%29 = 10 -40
:
-%2840b%29%2F%28%28b%2B5%29%29 = -30
multiply both sides by -1
%2840b%29%2F%28%28b%2B5%29%29 = 30
multiply both sides by (b+5)
40b = 30(b+5)
40b = 30b + 150
40b - 30b = 150
10b = 150
b = 15 boys
:
:
Check this. total cost 40*15 = $600
600/20 = 30, $10 less