SOLUTION: next year LPA goes to washington dc, there will be 195 students going on the trip. there will be 7 vehicles, some buses, some cars. a car can hold 5 students and a bus can hold 45
Algebra.Com
Question 1159017: next year LPA goes to washington dc, there will be 195 students going on the trip. there will be 7 vehicles, some buses, some cars. a car can hold 5 students and a bus can hold 45 students. how many of each type of vehicle went on the trip?
Answer by mananth(16946) (Show Source): You can put this solution on YOUR website!
next year LPA goes to washington dc,
let there be x buses and y cars
x+y =7 ( Total vehicles)
there will be 195 students going on the trip,. a car can hold 5 students and a bus can hold 45 students.
45x +5y=195
1.00 x + 1.00 y = 7.00
45.00 x + 5.00 y = 195.00 .............2
Eliminate y
multiply (1)by -5.00
Multiply (2) by 1.00
-5.00 x -5.00 y = -35.00
45.00 x 5.00 y = 195.00
Add the two equations
40.00 x = 160.00
/ 40.00
x = 4.00
plug value of x in (1)
1.00 x + 1.00 y = 7.00
4.00 + 1.00 y = 7.00
1.00 y = 3.00
y = 3.00
Ans x = 4 (buses)
y = 3 (cars)
RELATED QUESTIONS
Your school is going to the Santa Claus parade. Some students will be taking buses,... (answered by checkley79)
There are 195 students going to the school dance. If each activity bus can hold 8... (answered by Alan3354)
The entire freshman class of Wannago High School is going on a field trip. The number of... (answered by ikleyn)
A group of students are going on a field trip. The transportation will include vans,... (answered by jim_thompson5910)
A Senior class is planning a trip to Chicago. a Bus seats 51 people a bus seats 8 people. (answered by oberobic,stanbon)
A class of 195 students went on a field trip. They took 7 vehicles, some cars and some... (answered by angelmidnight)
A class of 195 students went on a field trip. They took 7 vehicles, some cars and some... (answered by MathLover1)
A class of 195 students went on a field trip. They took 7 vehicles, some cars and some... (answered by ikleyn)
A class of 195 students went on a field trip. They took 7 vehicles, some cars and some... (answered by Cromlix)