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anonymous

  • one year ago

HELP A zoo train ride costs $3 per adult and $1 per child. On a certain day, the total number of adults (a) and children (c) who took the ride was 30, and the total money collected was $50. What was the number of children and the number of adults who took the train ride that day, and which pair of equations can be solved to find the numbers?

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  1. anonymous
    • one year ago
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    @joeycoulter76 @JoannaBlackwelder @MiningProMC @beezle1197 @ospreytriple

  2. anonymous
    • one year ago
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    ANSWER CHOICES 20 children and 10 adults Equation 1: a + c = 30 Equation 2: 3a + c = 50 10 children and 20 adults Equation 1: a + c = 30 Equation 2: 3a − c = 50 20 children and 10 adults Equation 1: a + c = 30 Equation 2: 3a − c = 50 10 children and 20 adults Equation 1: a + c = 30 Equation 2: 3a + c = 50

  3. texaschic101
    • one year ago
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    total of adults and children was 30 : a + c = 30 $3 per adult, $1 per child....total of $50 : 3a + c = 50 a + c = 30 a = 30 - c -- now sub 30 - c in for a in the other equation 3a + c = 50 3(30 - c) + c = 50 -- distribute through the parenthesis 90 - 3c + c = 50 -- subtract 90 from both sides -3c + c = 50 - 90 -- simplify -2c = - 40 -- divide both sides by -2 c = 20 a + c = 30 a + 20 = 30 a = 30 - 20 a = 10 so there are 20 children and 10 adults

  4. anonymous
    • one year ago
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    so a or c?

  5. texaschic101
    • one year ago
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    A

  6. anonymous
    • one year ago
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    thank u, can u do another plz

  7. texaschic101
    • one year ago
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    what ya got ?

  8. anonymous
    • one year ago
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    No direct answers, please.

  9. anonymous
    • one year ago
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    How many solutions are there to the given set of equations? Equation C: y = 3x + 7 Equation D: y = 3x + 2 How many solutions are there to the given set of equations? One solution Two solutions Infinitely many solutions No solution

  10. texaschic101
    • one year ago
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    ok...lets do this one together y = 3x + 7......so sub in 3x + 7 for y in the other equation 3x + 7 = 3x + 2 now do you know how to solve for y ??

  11. anonymous
    • one year ago
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    im not super sure

  12. texaschic101
    • one year ago
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    ooops...I mean for x

  13. texaschic101
    • one year ago
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    3x + 7 = 3x + 2 --- subtract 7 from both sides 3x + 7 - 7 = 3x + 2 - 7 -- simplify 3x = 3x - 5 -- now subtract 3x from both sides 3x - 3x = 3x - 3x - 5 -- simplify 0 = -5 now...is that correct ? Does 0 = -5 ??

  14. anonymous
    • one year ago
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    yes?

  15. texaschic101
    • one year ago
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    no.....0 does not equal -5....therefore, there are no solutions to this problem

  16. anonymous
    • one year ago
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    ohh duh i see now, thank u

  17. texaschic101
    • one year ago
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    sure thing :)

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