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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

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  1. anonymous
    • one year ago
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    two more students cost how much more money?

  2. anonymous
    • one year ago
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    or in simple english, what is \(95-77\)?

  3. study_buddy99
    • one year ago
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    but that still makes no sense regarding what the question is asking

  4. anonymous
    • one year ago
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    why not?

  5. anonymous
    • one year ago
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    two students cost an extra \(95-77=18\) right?

  6. anonymous
    • one year ago
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    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
    • one year ago
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    if two students cost an extra $18, the price per student is half of that

  8. study_buddy99
    • one year ago
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    but it's still asking the price for the student and adult tickets

  9. anonymous
    • one year ago
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    right two students cost $18 what is the price of one student?

  10. study_buddy99
    • one year ago
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    one student would be $9

  11. anonymous
    • one year ago
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    yes

  12. anonymous
    • one year ago
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    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
    • one year ago
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    of if you prefer \[2\times \text{ adult price}+7\times \$9=\$95\] either way

  14. anonymous
    • one year ago
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    you know how to solve those?

  15. study_buddy99
    • one year ago
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    I see, thank you

  16. anonymous
    • one year ago
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    yw

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