Answer:
See the attached figure
A video gaming system that costs $200 (Green Color)
let the number of weeks = x
You have $100.00 and save $5.00 each week ⇒ 5x + 100 (Blue color)
Josh has $50.00 and saves $10.00 each week ⇒ 10x + 50 (Red color)
See the attached figure
As shown at the graph Josh will have $200 after 15 weeks and the other person will have $200 after 20 weeks
So, Josh will purchase the gaming system first.
The star point represents the person who will have enough money to purchase the gaming system first.