Problema Solution

A parking lot has 81 cars in it. All of them are Acura, Beetle, and Camry. There are half as many Acura's as Beetles and the number of Camry's is 80% of the number of Acura's and Beetles together. How many of each kind of car is in the parking lot?

Answer provided by our tutors

Let

a = the number of Acura cars

b = the number of Beetle cars

C = the number of Camry cars

The total number of cars is 81:

a + b + c = 81

Using the info given in the problem we can write the following equations:

a = b/2

c = 0.80(a + b)

We have the following system of equations that we need to solve:

a + b + c = 81

a = b/2

c = 0.80(a + b)

........

click here to see the system of equations solved for a, b and c

........

a = 15 Acura cars

b = 30 Beetle cars

c = 36 Camry cars

There are 15 Acura, 30 Beetle and 36 Camry cars in the parking lot.