Question

Distribute $3700 among Joe, Tom and Jack so that joe receives $250 more than Jack and Jack recieves twice hat tom Receives. Indicate the amount that each will receive

Answer 1

due to the information given you can come up with 3 equations:

Joe: y=x+250
Tom: y=x/2
Jack y=x

this is the amount they are given in comparison to one another

Answer 2

altogether is amounts to $3,700 so we add the equations together

Answer 3

(x+250)+(x/2)+(x)=3,700

then I'm going to multiply everything by two to get rid of the denominator

it becomes: 2x+500+x+2x=7,400

Answer 4

then combine like terms...
5x+500=7,400
5x=6,900
so
x=1380

Answer 5

you then take this x amount and plug it into the first three equations for Joe, Tom, and Jack

Joe: $1,630
Tom:$690
Jack:$1,380

And that is your final answer