Solve the problem.
-A traffic counter consists of a thin black tube stretched across a street or highway and
connected to a "brain box" at the side of the road. The device registers one "count" each
time a set of wheels (that is, wheels on a single axle)rolls over the tube. A normal
automobile (two axles)registers two counts, and a light truck (three axles)registers three
counts. Suppose that, during a one-hour period, a particular counter registers 41 counts on
a residential street on which only two-axle vehicles (cars)and three-axle vehicles (light
trucks)are allowed. How many cars and light trucks passed over the traffic counter? Find
all the possible solutions to the problem.
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