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Naomi and Hudson work at a dry cleaners ironing shirts. Naomi can iron 35 shirts per hour, and Hudson can iron 20 shirts per hour. Naomi and Hudson worked a combined 13 hours and ironed 395 shirts. Write a system of equations that could be used to determine the number of hours Naomi worked and the number of hours Hudson worked. Define the variables that you use to write the system.

 May 23, 2022
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Let x = the number of hours Naomi worked

Let y = the number of hours Hudson worked

 

Using the numbers they gave us regarding how many shirts each of them can iron per hour, you multiply the number of shirts Naomi can iron per hour by x (the number of hours Naomi worked), and vice versa for Hudson. Combined, they ironed 395 shirts. That is what it will be equal to.

 

Combined, they worked 13 hours. You dont know how many hours they each worked, so it becomes x + y = 13.

 

Here is your system of equations:

35x + 20y = 395

x + y = 13

 May 23, 2022

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