Sophia and London work at a dry cleaners ironing shirts. Sophia can iron 40 shirts per hour, and London can iron 25 shirts per hour. Sophia 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 Sophia worked and the number of hours London worked. Define the variables that you use to write the system.

Question

Mathematics

Mohamed Bentley

23 June, 18:42

Sophia and London work at a dry cleaners ironing shirts. Sophia can iron 40 shirts per hour, and London can iron 25 shirts per hour. Sophia 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 Sophia worked and the number of hours London worked. Define the variables that you use to write the system.

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Answers (1)

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Jeremiah Ali · Answer 1

Answer: sophia worked 6 hours, London worked 5 hours.

Step-by-step explanation:

Since two of them will work for a combined period of 11hours, then we denote the number of hours spent by sophia to be x hours, then number of hours spent by london will become "11-x" hours.

Number of shirts that can be ironed per hour for sophia = Ns = 40shirts/hour

Number of shirts that can be ironed per hour for london = Nl = 25shirts/hour

Hence: the system that can be used to describe the number of hours both worked with can be denoted as:

[Ns * x] + [Nl * (11-x) ] = 365

[40x] + [25 * (11-x) ]=365

40x + 275 + 25x = 365

15x = 90

x=6hours.

Hence, for the combined 11hours worked)

Number of hours worked by sophia = 6hours

Number of hours worked by London = 5hours.