contestada

Jeremiah and Tristan work at a dry cleaners ironing shirts. Jeremiah can iron 35 shirts per hour, and Tristan can iron 20 shirts per hour. Jeremiah and Tristan worked a combined 17 hours and ironed 490 shirts. Determine the number of hours Jeremiah worked and the number of hours Tristan worked.

Respuesta :

bhuvna789456

The number of hours Jeremiah ironed = 10 hours

The number of hours Tristan ironed = 7 hours

Step-by-step explanation:

  • Jeremiah can iron = 35 shirts per hour
  • Tristan can iron = 20 shirts per hour
  • Total work done by both = 490 shirts

Let 'x' be the number of hours Jeremiah ironed.

Let 'y' be the number of hours Tristan ironed.

x+y = 17   ------(1)

35x + 20y = 490  -------(2)

Multiply (1) by 20 and subtract (2) from (1),

 20x + 20y = 340

-(35x + 20y = 490)

 -15x         = -150

x = 150/15

x = 10

Substitute x=10 in (1)

10+y = 17

y = 7

deepakrai138

The number of hours Jeremiah worked and the number of hours Tristan worked will be 10 hours and 7 hours respectively.

Let Jeremiah worked x hours and Tristan worked y hours.

Given,

Jeremiah can iron 35 shirts per hour.

So no of shirts iron in x hours will be [tex]35x.[/tex]

Tristan can iron 20 shirts per hour.

So, no.of shirts iron in y hours will be [tex]20y[/tex] .

Now according to the question,Jeremiah and Tristan worked a combined 17 hours so,

[tex]x+y=17.....(1)[/tex]

Again, Jeremiah and Tristan worked together and ironed 490 shirts. so

[tex]35x+20y=490\\[/tex]

or it can be written as,

[tex]7x+4y=98......(2)[/tex]

Now multiplying equation (1) by 7 we get

[tex]7x+7y=119......(3)[/tex]

Now, subtracting equation (2) from equation (3) we get,

[tex]3y=21\\y=7[/tex]

Putting the value of y in equation (1), we get

[tex]x+7=17[/tex]

[tex]x=10[/tex]

Thus Jeremiah worked for 10 hours and Tristan worked for 7 hours.

For more details on Equation solving follow the link:

https://brainly.com/question/11651491

Otras preguntas