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Grace and Hudson work at a dry cleaners ironing shirts. Grace can iron 20 shirts per hour, and Hudson can iron 35 shirts per hour. Hudson worked twice many hours as grace and they ironed 450 shirts between them. Write a system of equations that could be used to determine the numbers of hours grace worked and the number of hours Hudson worked. Define the variables that you use to write the system

Respuesta :

20x+35y=450 and y=2x can be used to determine the number of hours grace worked and the number of hours Hudson worked. Where x is grace's working hours and y is Hudson's working hours.

Step-by-step explanation:

Grace ironing rate per hour = 20 shirts

Hudson ironing rate per hour = 35 shirts

Total shirts pressed = 450

Let,

Grace's number of hours = x

Hudson's number of hours = y

According to given statement;

20x+35y=450   Eqn 1

Hudson worked twice many hours as grace.

y = 2x    Eqn 2

20x+35y=450 and y=2x can be used to determine the number of hours grace worked and the number of hours Hudson worked. Where x is grace's working hours and y is Hudson's working hours.

Keywords: linear equations, variables

Learn more about variables at:

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