Two dump trucks have capacities of 10 tons and 12 tons. They make a total of 20 round trips to haul 226 tons of topsoil for a landscaping project. How many round trips does each truck make?

sjeikdom0

sjeikdom0

Answered question

2021-02-09

Two dump trucks have capacities of 10 tons and 12 tons. They make a total of 20 round trips to haul 226 tons of topsoil for a landscaping project. How many round trips does each truck make?

Answer & Explanation

funblogC

funblogC

Skilled2021-02-10Added 91 answers

Let x= truck 
The actual number of round trips made by each truck is x for the 10 ton truck and y for the 12 ton truck.
x + y = 20 
We know from the problem that if you add together the number of round trips made by each truck, you get the 20 trip total. 
x= 20-y 
This is just math to isolate x. So, now we can substitute "20-y" for x in the equation and it will be easier to solve. 
10 (20-y) + 12y = 226 
This equation reflects how much topsoil each truck carried. Truck x (which is 20-y now) carried 10 tons on each of its round trips, and truck y carried 12 tons per trip. [Note that even though its

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