Question

A parking attendant charges a different rate for cars than for trucks. It costs $10.75 to park 3 cars and 2 trucks. It costs $12.25 to park 7 cars and 1 truck. How much does it cost to park a single car? A single truck?

Answer 1

Answer:

$1.25 to park a car and $3.50 to park a truck

Step-by-step explanation:

Set up a system where c is the number of cars parked and t is the number of trucks:

3c + 2t = 10.75

7c + t = 12.25

Solve by elimination by multiplying the bottom equation by -2 to eliminate t:

3c + 2t = 10.75

-14c - 2t = -24.5

Add them together and solve for c:

-11c = -13.75

c = 1.25

Then, plug in 1.25 as c in the equation to solve for t:

3c + 2t = 10.75

3(1.25) + 2t = 10.75

3.75 + 2t = 10.75

2t = 7

t = 3.5

So, it costs $1.25 to park a car and it costs $3.50 to park a truck