## study_buddy99 one year ago A youth group and their leaders visited mammoth cav. 2 adults and 5 students in one van paid $77 for a 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 ticket

1. anonymous

two more students cost how much more money?

2. anonymous

or in simple english, what is $$95-77$$?

3. study_buddy99

but that still makes no sense regarding what the question is asking

4. anonymous

why not?

5. anonymous

two students cost an extra $$95-77=18$$ right?

6. anonymous

Okay lets think of our unknowns as variables. Lets just easily calls those variables x & y. What we don't know is how much adults paid and how much a student paid. What we do know is their cost. I can tell you our goal here is to solve a two linear equations. I'll help you find the first equation from the first part of the question, and i bet you'll be able to get the second one. $2x+5y=77$

7. anonymous

if two students cost an extra $18, the price per student is half of that 8. study_buddy99 but it's still asking the price for the student and adult tickets 9. anonymous right two students cost$18 what is the price of one student?

10. study_buddy99

one student would be $9 11. anonymous yes 12. anonymous and since one student cost$9, then we can figure out what the adult cost since $2\times \text{ adult price}+5\times \9=\77$

13. anonymous

of if you prefer $2\times \text{ adult price}+7\times \9=\95$ either way

14. anonymous

you know how to solve those?

15. study_buddy99

I see, thank you

16. anonymous

yw