A car dealer has 30 cars and trucks. If 2 more cars are delivered, the dealer will have 3 times as many cars as trucks. How many does trucks does the dealer presently have?
t + 3t = 32
Solve for t.
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To solve this problem, we need to set up an equation based on the information given.
Let's denote the number of cars as C and the number of trucks as T.
From the problem, we know two things:
1. The dealer has a total of 30 cars and trucks: C + T = 30.
2. If 2 more cars are delivered, the dealer will have 3 times as many cars as trucks: C + 2 = 3T.
Now, we can solve this system of equations to find the value of T, which represents the number of trucks.
First, let's rearrange the second equation to solve for C:
C = 3T - 2.
Next, substitute this value of C into the first equation:
(3T - 2) + T = 30.
Combine like terms:
4T - 2 = 30.
Add 2 to both sides of the equation:
4T = 32.
Divide both sides by 4:
T = 8.
Therefore, the dealer presently has 8 trucks.