SOLUTION: 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. H

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Question 240529: 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?
Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
You can put this solution on YOUR website!
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.
:
x = no. of trips of the larger truck
then
(x+18) = no. of trips the smaller truck
:
Small truck tonnage - large truck tonnage = 12 tons
3(x+18) - 4x = 12
3x + 54 - 4x = 12
3x - 4x = 12 - 54
-x = -42
x = 42 trips by the large truck
then
42 + 18 = 60 trips by the small truck
;
:
Check solution
3(60) - 4(42) =
180 - 168 = 12