Gina Wilson and Taylor Baker are roommates employed at Walmart while attending college. Their goal is to buy a car for $\$15,000$ in cash at the end of the year. For that reason, they have put themselves on a strict budget which includes the following:
$40\%$ food and lodging, $20\%$ entertainment, $10\%$ education
Gina earns $\$$2,400 per month and Taylor earns $\$1,900$ per month. Carefully show if Gina and Taylor would have enough case to buy the car at the end of the year.