Caleb and Landon work at a dry cleaners ironing shirts. Caleb can iron 30 shirts per hour, and Landon can iron 15 shirts per hour. Caleb worked 2 more hours than Landon and they ironed 330 shirts between them. Write a system of equations that could be used to determine the number of hours Caleb worked and the number of hours Landon worked. Define the variables that you use to write the system.

Caleb can iron 30 shirts per hour, and Landon can iron 15 shirts per hour. This means that the number of shirts that Caleb would iron in x hours is 30x and the number of shirts that Landon would iron in y hours is 15y. They ironed 330 shirts between them. This means that

30x + 15y = 330 - - -- - - - - - - - - - - -1

Caleb worked 2 more hours than Landon. This means that

x = y + 2 - - - -- - - - - - - -2

ewomazinoade ewomazinoade · Answer 2 · 2021-12-07T11:07:42+01:00

The system of equations that can be used to determine the number of hours Caleb and Landon works is:

30c + 15l = 330 equation 1

c - l = 2 equation 2

Where:

x = total hours Caleb works

y = total hours Landon works

The total shirts Caleb and Landon works is a function of the total hours they each work and the number of shirts they can iron in a hour.

Total number of shirts they can both iron = (shirts that Caleb can iron in an hour x number of hours Caleb worked) + (shirts that Landon can iron in an hour x number of hours Landon worked)

30c + 15l = 330

Equation 1 and 2 are known as simultaneous equations and they have to be solved together in order to determine the answer.

To learn more about simultaneous equations, please check: brainly.com/question/23589883