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.Com
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)   (Show Source): You can put this solution on YOUR website!
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

RELATED QUESTIONS

A group of tourists were offered seats in a number of buses so that there were the same... (answered by JulietG)
Two indian tourists in US cycled towards each other,one from A and other from B.the first (answered by KMST)
The tourist bureau of the Caribbean Islands surveyed a sample of 6 United States tourists (answered by math_tutor2020)
The tourist bureau of the Hawaiian Islands surveyed a sample of 5 United States tourists... (answered by stanbon)
Hotel A and B offers 2 types of packages that include lodging only or lodging with... (answered by CPhill,ikleyn)
Hotel A and B offers 2 types of packages that include lodging only or lodging with... (answered by CPhill,ikleyn)
A party of tourists booked a hotel for ₹1200. Three of the members failed to pay.... (answered by ikleyn,josgarithmetic)
If the ratio of tourists to locals is 7:8 and there are 210 tourists at the opening... (answered by math_tutor2020,ikleyn,MathTherapy,greenestamps)
A survey of 1,174 tourists visiting Orlando was taken. Of those surveyed: 250 tourists (answered by mccravyedwin,ikleyn,Edwin McCravy)