Homework Help: Math 101

Posted by Ann on Sunday, October 23, 2011 at 10:59pm.

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?

Math 101 - Steve, Monday, October 24, 2011 at 10:15am
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(44000-r)
369000 = 13r + 264000 - 6r
105000 = 7r
r = 15000 reserved seats
29000 general seats

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