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4 August, 23:02

Two welders worked a total of 46 h on a project. One welder made $34/h, while the other made $39/h. If the gross earnings of the two welders was $1,669 for the job, how many hours did each welder work?

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  1. 5 August, 00:16
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    25 and 21 hours respectively

    Step-by-step explanation:

    Let the number of hours worked by each welder be x and y respectively.

    They worked a total of 46 hours. This means:

    x + y = 46 hours ... (I)

    Now, given their hourly charges, since we have the total amount of money realized, we can make an equation out of it. This means:

    34x + 39y = 1669 ... (ii)

    We then solve both simultaneously. From I, x = 46 - y

    We can substitute this into ii

    34 (46 - y) + 39y = 1669

    1564 - 34y + 39y = 1669

    5y = 1669 - 1564

    5y = 105

    y = 105/5 = 21

    x = 46 - y

    x = 46 - 21 = 25 hours

    The numbers of hours worked by the welders are 25 and 21 respectively
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