Sophia and London work at a dry cleaners ironing shirts. Sophia can iron 40 shirts per hour, and london can iron 25shirts per hour. Sphia and London worked a combined 11 hours and ironed 365 shirts. write a system of equations that could be used to determine the number of hours sops worked and the number of hours London worked. define. the variables that you use to write the system

The answer is x + y = 11 and 40x + 25y= 365

Step-by-step explanation:

Step 1: Identify variables

x is number of hours Sophia spends ironing shirts

y is number of hours London spends ironing shirts

Step 2: Create a system of equations

x hours + y hours = 11 hours

40 shirts are ironed in x hours + 25 shirts ironed in y hours = 365 shirts.

Bonus:

To solve system of equations you can use elimination method.

Chose variable to eliminate then multiply one or both equations to a constant to create a set of equations. Example:

x + y = 11                      we will eliminate x, so multiply -40 to first equation

40x + 25y = 365             -40x+ -40y = -440

Now add equations together.                  -40x+ -40y = -440

                                                                    40x + 25y = 365

                                                                              -15y=-75

simplify                                                                y=5

Then insert 5 into original equations.

x+5=11

solve  x+5=11

             -5   -5

x=6

so x=6 and y=5