Answer:
Jason has $58.20 and Jeff has $13.80.
Step-by-step explanation:
Let x represent the amount of money Jason has, and y represent the amount of money Jeff has.
We know that together they have $72. So, we can write the following equation:
[tex]x+y=72[/tex]
We know that Jason has three more than four times the amount of money Jeff has. So:
[tex]x=3+4y[/tex]
This is a system of equations. We can solve it by using substitution. Let's substitute the second equation into the first. This yields:
[tex](3+4y)+y=72[/tex]
Combine like terms:
[tex]5y+3=72[/tex]
Subtract 3 from both sides:
[tex]5y=69[/tex]
Divide both sides by 5:
[tex]y=69/5=\$13.80[/tex]
So, Jeff has $13.80
We know that Jason has three more than four times the amount of money Jeff has.
Therefore, Jason has:
[tex]x=13.8(4)+3[/tex]
Multiply and add:
[tex]x=\$58.20[/tex]
So, Jason has $58.20 and Jeff has $13.80.
And we're done!
