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

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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

Mathematics
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At vero eos et accusamus et iusto odio dignissimos ducimus qui blanditiis praesentium voluptatum deleniti atque corrupti quos dolores et quas molestias excepturi sint occaecati cupiditate non provident, similique sunt in culpa qui officia deserunt mollitia animi, id est laborum et dolorum fuga. Et harum quidem rerum facilis est et expedita distinctio. Nam libero tempore, cum soluta nobis est eligendi optio cumque nihil impedit quo minus id quod maxime placeat facere possimus, omnis voluptas assumenda est, omnis dolor repellendus. Itaque earum rerum hic tenetur a sapiente delectus, ut aut reiciendis voluptatibus maiores alias consequatur aut perferendis doloribus asperiores repellat.

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two more students cost how much more money?
or in simple english, what is \(95-77\)?
but that still makes no sense regarding what the question is asking

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Other answers:

why not?
two students cost an extra \(95-77=18\) right?
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. \[2x+5y=77\]
if two students cost an extra $18, the price per student is half of that
but it's still asking the price for the student and adult tickets
right two students cost $18 what is the price of one student?
one student would be $9
yes
and since one student cost $9, then we can figure out what the adult cost since \[2\times \text{ adult price}+5\times \$9=\$77\]
of if you prefer \[2\times \text{ adult price}+7\times \$9=\$95\] either way
you know how to solve those?
I see, thank you
yw

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