Parking

Baxter has received a grant to run an environmentally sensitive parking lot downtown. To encourage carpooling, he charges $20 per day per vehicle with only the driver in it and $10 per day for each carpool vehicle with two or more people. On one Monday, 115 vehicles were parked in his lot, and he took in $1990. How many of each kind of vehicle used the lot that day?


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Let s represent the number of driver-only cars
and c = 115 – s the number of carpool cars.

20s + 10(115 – s) = 1990
20s + 1150 – 10s = 1990
10s = 840
s = 84
c = 115 – s = 31

Check: 20 · 84 + 10 · 31 = 1680 + 310 = 1990

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