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Jacob and Ayden work at a dry cleaners ironing shirts. Jacob can iron 25 shirts per hour, and Ayden can iron 35 shirts per hour. Ayden worked twice as many hours as Jacob and they ironed 380 shirts between them. Determine the number of hours Jacob worked and the number of hours Ayden worked.

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Answer:

Step-by-step explanation:

Start with the unknown, which is the number of hours J worked and the number of hours A worked.  If A worked twice as many hours as J, then J worked x hours and A worked 2x hours.  If J can iron 25 shirts per hour, x, then the number of shirts he can iron in his shift is 25x.  If A can iron 35 shirts per hour, x, then the number of shirts he can iron in his shift is 35(2x).  The number of shirts they iron together in x hours is

25x + 35(2x) = 380 and

25x + 70x = 380 and

95x = 380 so

x = 4

This means that J worked 4 hours and A worked 8 hours.

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