SOLUTION: i need help solving system of linear equations and inequalities the word problems ... ok here we go.. A youth group and their leaders visited MAmmoth cave. 2 adults and 5 students

Question 278958: i need help solving system of linear equations and inequalities the word problems ... ok here we go.. A youth group and their leaders visited MAmmoth cave. 2 adults and 5 students in one van paid $77 for the tour. 2 adults and 7 students in the second van paid $95 for the same tour. Find the adult price and the student price of the tour. .............. ok thats the problem
Answer by dabanfield(803) (Show Source): You can put this solution on YOUR website!
i need help solving system of linear equations and inequalities the word problems ... ok here we go.. A youth group and their leaders visited MAmmoth cave. 2 adults and 5 students in one van paid $77 for the tour. 2 adults and 7 students in the second van paid $95 for the same tour. Find the adult price and the student price of the tour. .............. ok thats the problem
Let x be the price of an adult ticket and y the price of a student ticket. Then we have:
Van 1:
1.) 2*x + 5*y = 77
Van 2:
2.) 2*x + 7*y = 95

If we subtract equation 2) from equation 1) we have:
2*x - 2*x + 5*y - 7*y = 77 - 95
-2*y = -18
y = 9
Now you can calculate x by substituting 9 for y in either equation 1) or 2).
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