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Gianna and Matthew work do you wanna can iron 30 shirts per hour and Matthew can I or 10 church for our do you wanna and Matthew worked a combine 11 hours and iron 230 shirts determine the number of hours do you wanna worked and the number of hours Matthew

1 Answer

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Answer:

The number of hours Gianna worked is 6 and the number of hours Matthew worked is 5.

Explanation:

There are mistakes in the question so below is the rectified one:

Gianna and Matthew work at a dry cleaners ironing shirts. Gianna can iron 30 shirts per hour, and Matthew can iron 10 shirts per hour. Gianna and Matthew worked combined 11 hours and ironed 230 shirts. Determine the number of hours Gianna worked and the number of hours Matthew worked.

Now, to find the number of hours Gianna worked and the number of hours Matthew worked.

Let the number of hours Gianna worked be
x.

And let the number of hours Mathew worked be
y.

So, the total number of hours combined they worked:


x+y=11


y=11-x\ \ \ .....(1)

Now, the total number of shirts they ironed:


30(x)+10(y)=230


30x+10y=230

Substituting the value of
y from equation (1) we get:


30x+10(11-x)=230


30x+110-10x=230


20x+110=230

Subtracting both sides by 110 we get:


20x=120

Dividing both sides by 20 we get:


x=6.

The number of hours Gianna worked = 6 hours.

Now, substituting the value of
x in equation (1):


y=11-x\\\\y=11-6\\\\y=5.

The number of hours Matthew worked = 5 hours.

Therefore, the number of hours Gianna worked is 6 and the number of hours Matthew worked is 5.

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