A parking lot contains 102 vehicles. Each car is charged $3 and each bus is charged $10. The total revenue was $418. How many buses are in the lot?

Question

Please show step by step.

Answer 1

c = # of cars

b = # of buses

 

  c +    b = 102

3c + 10b = 418

 

multiply the first equation by -3

 

-3c -   3b = -306

 3c + 10b = 418

 

combine equations and you get

 

7b = 112

  b = 16

 

substitute back into c + b = 102 and you get

c + 16 = 102

       c = 86

 

16 buses and 86 cars