Luann predicted that if a certain number of vehicles passed by her by, 42 of them would be SUVs?What was the certain number of vehicles she had in mind.

Types of Vehicles| Number of vehicles


     Car               |   6
   Truck              |   10
     SUv              |     14
  Minivan          |     15

1 Answer

135

Explanation:

For every 45 vehicles that pass by, 6 are expected to be cars, 10 trucks, 14 SUVs and 15 minivans.

This means that #14/45# of the cars are expected to be SUVs.

So how many cars have passed by if Luann sees 42 SUVs pass by? We can find that by looking at a ratio:

#"predicted SUVs"/"predicted vehicles"="actual SUVs"/"actual vehicles"#

We know 3 of the values:

#14/45=42/"actual vehicles"#

Note that #42/14=3#, and so if we take #45xx3#, we'll see the actual number of vehicles that have passed by:

#"actual vehicles"=45xx3=135#