NEED HELP!! MUST SOLVE WITH SYSTEM OF EQUATIONS!!

User Generated

Rqrajvyxrf

Mathematics

Description

My story problem is "A youth group and their leaders visited mammoth cave. Two adults and 5 students in one van paid $77 for the grand tour of the cave. Two adults and 7 students in a second van paid $95 for the same tour. Find the adult price and the student price of the tour."

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Explanation & Answer

2a+5s=77 ; 2a+7s=95. Subtracting equations yields 2s=18, s=9. Back-substituting yields 2a+45=77, 2a=32; a=16.


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