The capacities of two trucks are 3 tons and 4 tons respectively. If the smaller truck makes 18 more trips than the larger, it can deliver 12 more tons of freigh

Question

The capacities of two trucks are 3 tons and 4 tons respectively. If the smaller truck makes 18 more trips than the larger, it can deliver 12 more tons of freight than the larger. How many trips does each truck make?

Let x represent the number of trips that the larger truck makes. Which of the following equations could be used to solve the problem?

A. 4x - 3(x + 18) = 12

B. 3(x + 18) - 4x = 12

C. 3x - 4(x + 18) = 12

Answer 1

Let x = number of trips made by the larger truck

     x + 18 = number of trips made by the smaller truck

 

Number of tons delivered by larger truck = 4x

Number of tons delivered by smaller truck = 3(x+18)

 

Number of tons of small truck) = (Number of tons of large truck) + 12

 

3(x+18) = 4x + 12   So, 3(x+18) - 4x = 12

 

Answer: (B)

 

Solving the equation, we get 3x + 54 - 4x = 12

 

                                                     -x = -42

 

                                                      x = 42

 

The large truck made 42 trips and the smaller one made 60 trips.