Answer to Question #5285 in Statistics and Probability for kira

Question

If my boss has 42 seats and 101 wheels, how many bikes and trikes does he have?

Answer 1

Let the boss has X bikes and Y trikes. So,

2X + 3Y = 101 (1) - the total number of wheels;
X + Y = 42 (2) - total number of seats.

We've got the system of equations. Let's solve it.

(2) ==> X = 42 - Y;
(1): 2(42 - Y) + 3Y = 101;
84 + Y = 101;
Y = 17;
X = 42 - 17 = 25.

So, boss has 25 bikes and 17 trikes.