SOLUTION: Several tourists rented boats. When they tried to sit 3 tourists in each boat, there was 1 tourist left without a seat. When they tried to sit 4 tourists in each boat, there was 1

Algebra ->  Coordinate Systems and Linear Equations  -> Linear Equations and Systems Word Problems -> SOLUTION: Several tourists rented boats. When they tried to sit 3 tourists in each boat, there was 1 tourist left without a seat. When they tried to sit 4 tourists in each boat, there was 1       Log On


   



Question 840063: Several tourists rented boats. When they tried to sit 3 tourists in each boat, there was 1 tourist left without a seat. When they tried to sit 4 tourists in each boat, there was 1 boat left with no one in it. How many tourists and how many boats were there?
Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
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Several tourists rented boats.
When they tried to sit 3 tourists in each boat, there was 1 tourist left without a seat.
When they tried to sit 4 tourists in each boat, there was 1 boat left with no one in it.
How many tourists and how many boats were there
Boats: 1 - 2 - 3 - 4 - 5
people 3 - 6 - 9 =12 - 15, +1 left over
people 4 - 8 -12 -16 - 20
:
From this we can see there were 16 people and 5 boats
3 in 5 boats with one left over
or
4 in 4 boats with one boat empty