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30 June, 18:35

He Scott family and the Cox family each used their sprinklers last summer. The water output rate for the Scott family's sprinkler was

35L

per hour. The water output rate for the Cox family's sprinkler was

25L

per hour. The families used their sprinklers for a combined total of

45

hours, resulting in a total water output of

1275L

. How long was each sprinkler used?

+2
Answers (1)
  1. 30 June, 20:02
    0
    Scott's family sprinkler time = 15 hours

    Cox's family sprinkler time = 30 hours

    To check: 35x + 25y = 1275 = 35 (15) + 25 (30) = 1275

    Explanation:

    The Scott family and the Cox family each used their sprinklers last summer.

    The water output rate for the Scott family's sprinkler was 35L per hour.

    The water output rate for the Cox family's sprinkler was 25L per hour.

    The families used their sprinklers for a combined total of 45 hours, resulting in a total water output of 1275L. How long was each sprinkler used

    Let x represents Scott's family time

    Let y represents Cox's family time

    35x + 25y = 1275 ... equation 1

    x + y = 45 ... equation 2

    If x + y = 45, therefore x = 45 - y

    substituting 45-y for x in equation 1

    35 (45-y) + 25y = 1275

    1575 - 35y + 25y = 1275

    - 35y + 25y = 1275 - 1575

    - 10y = - 300

    y = 30 hours

    Substituting 30 for y in equation 2

    x + 30 = 45

    x = 15 hours

    To check: 35x + 25y = 1275 = 35 (15) + 25 (30) = 1275
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