Question

A thin tube stretched across a street counts the number of pairs of wheels that pass over it. A vehicle classified as type A with two axles registers two counts. A vehicle classified as type B with nine axles registers nine counts. During a 2​-hour ​period, a traffic counter registered 101 counts. How many type A vehicles and type B vehicles passed over the traffic​ counter? List all possible solutions.

Answer 1

Answer: All possible solutions would be

(1,41), (8,33), (15,25), (22,17), (29,9), (36,1)

Step-by-step explanation:

Let the number of vehicle of type A be 'x'.

Let the number of vehicle of type B be 'y'.

Since we have given that

Number of axles of type A = 2

Number of axles of type B = 9

After 2 hours, number of counts = 101

so, our equation becomes,

$2x+9y=101$

So, all possible solutions would be

(1,41), (8,33), (15,25), (22,17), (29,9), (36,1)