Jose has $20 more than Sarah. Their combined mobey totals $90. Write and solve an algebric model to determine the amount of money each person has.

Let S= the amount of money Sarah has.
Let J= the amount of money Jose has
J= S+20
J+S=90
But we also know that J can equal S+20
So,
S+20+S=90
2S+20=90
2S=70
S=35
So Sarah has $35, and Jose has $35+$20, so he has 55$