Question

$80 is divided between Jason and Bryan such that one quarter of Ethan's share is equal to one sixth of Michael's share. How much does each of them receive ?

Answer 1

We have two things here
Michaels share is x
Ethans share is y

6x=4y
And x+y=80

The equation on the top when divided by 2 equals 3x=2y
x=2y/3

So we have:
x+y=80
2y/3 + y =80 /*3
2y +3y= 240
5 y = 240
y= 48

x+y=80
x+48= 80
x= 80-48
x=32

Answer 2

Michael's share is 48 and Ethan's share is 32.

Given that, $80 is divided between Jason and Bryan.

What is the system of equations?

In mathematics, a system of linear equations (or linear system) is a collection of one or more linear equations involving the same variables.

Let Michael's share be x and Ethan's share be y.

Now, x+y=80------(i)

1/4 (y)=1/6(x)

⇒6y=4x

⇒3y=2x

⇒x=3y/2-------(ii)

Substitute equation (ii) in equation (i)

That is, 3y/2 +y=80

⇒2y +3y= 160

⇒5y = 160

⇒y=32

Now, put y=32 in x+y=80

That is, x+32= 80

⇒x= 80-32

⇒x=48

Therefore, Michael's share is 48 and Ethan's share is 32.

To learn more about the system of equation visit:

https://brainly.com/question/21620502.

#SPJ5