Math 101
posted by Ann on .
1. Best Rentals charges a daily fee plus a mileage fee for renting its cars. Barney was charged $123.00 for 3 days and 300 miles, while Mary was charged $216.00 for 5 days and 600 miles. What does Best Rental charge per day, for mileage?
2. There were 44,000 people at a ball game in Los Angeles. The day's receipts were $369,000. How many people paid $ 13.00 for reserved seats and how many paid $6.00 for general admission?

1. They give two sets of information. Letting d = the daily charge, and m be the mileage charge, and c be the total charge
c = d + m*x where x miles are driven
123 = 3d + 300m
216 = 5d + 600m
Subtract the second from twice the first:
246 = 6d + 600m
216 = 5d + 600m
30 = d
so, 0.11
so,
c = 30 + 0.11x
2.
369000 = 13r + 6(44000r)
369000 = 13r + 264000  6r
105000 = 7r
r = 15000 reserved seats
29000 general seats