KillerSquirrel wrote:

beatgmat wrote:

(x-y)/8 = x/9

or

(x+y)/10 = x/9

solving for y will yield:

x-y = (x*8)/9

y = x/9

9y = x

John got in advance x dollars so ---> 9y

**Quote:**

How are you equating

x-y/8 = x/9?

You are equating money she has ( X -y) / the number of hours she worked to hourly wage?

Lets assume Mary got 180 dollars and John got 180 dollars.

they worked for a total of 18 houres.

so the average pay per hour of both of them is 360/18 = 20

since Mary got 180/8 = 22.5 per hour and John got 180/10 = 18 per hour Mary gave John (2.5*8) dollars, this is y !!! she now has 180 (i.e x) - 20 (i.e y) = 160/8 = 20 per hour.

John got y (i.e 2.5*8) dollars and now he has 180 (i.e x) + 20 (i.e y) = 200/10 = 20 per hour

9y = x

20*9 = 180

its much easier to plug in smart numbers.

$80 each person

j = $8 an hour

m = $10

In order for j and m to have the same amount of money per hour, 10+8 / 2 = $9 per hour for both ppl.

m must give 1 dollar. y=1

therefore, john receives $9 dollars an hour, as does M. $9/hr in terms of y is 9y.

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