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anonymous

  • one year ago

The Scott family and the Phillips family each used their sprinklers last summer. The water output rate for the Scott family's sprinkler was 30L per hour. The water output rate for the Phillips family's sprinkler was 20L per hour. The families used their sprinklers for a combined total of 50 hours, resulting in a total water output of1300L. How long was each sprinkler used? Scott family: hours Phillips family: hours Will medal

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  1. anonymous
    • one year ago
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    @Vocaloid

  2. Vocaloid
    • one year ago
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    write and solve a system of equations

  3. anonymous
    • one year ago
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    I dont know how to do that

  4. Vocaloid
    • one year ago
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    start by defining two variables let s = number of hours used for the Scott family let p = number of hours used by the Phillips family

  5. anonymous
    • one year ago
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    yea

  6. Vocaloid
    • one year ago
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    p + s = 50

  7. anonymous
    • one year ago
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    ok

  8. Vocaloid
    • one year ago
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    20p + 30s = 1300 p + s = 50 solve for p and s

  9. anonymous
    • one year ago
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    thats the part im stuck on

  10. Vocaloid
    • one year ago
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    start by multiplying the second equation by 20

  11. anonymous
    • one year ago
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    which one

  12. Vocaloid
    • one year ago
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    I said the second one

  13. anonymous
    • one year ago
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    doesnt make any sense

  14. Vocaloid
    • one year ago
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    here are your two equations 20p + 30s = 1300 p + s = 50 multiply the second equation by 20

  15. anonymous
    • one year ago
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    20p+20s=100

  16. Vocaloid
    • one year ago
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    almost

  17. Vocaloid
    • one year ago
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    50*20 = ?

  18. anonymous
    • one year ago
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    1000

  19. Vocaloid
    • one year ago
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    good.

  20. Vocaloid
    • one year ago
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    now we have 20p + 30s = 1300 20p + 20s = 1000 now subtract the two equations.

  21. anonymous
    • one year ago
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    10s=300

  22. Vocaloid
    • one year ago
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    good now find s...

  23. anonymous
    • one year ago
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    s=30

  24. Vocaloid
    • one year ago
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    great, now go back and find p

  25. Vocaloid
    • one year ago
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    we know that p + s = 50, so what is p?

  26. anonymous
    • one year ago
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    25

  27. Vocaloid
    • one year ago
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    nope.

  28. Vocaloid
    • one year ago
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    s = 30 p = ?

  29. anonymous
    • one year ago
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    20

  30. Vocaloid
    • one year ago
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    great.

  31. anonymous
    • one year ago
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    ty have a few more up to helping me

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