SOLUTION: Write an equation to represent the situation. Let c represent the number of cars in the equation. A dealership sells cars and trucks. The number of trucks is 24 more than twice th

Algebra ->  Equations -> SOLUTION: Write an equation to represent the situation. Let c represent the number of cars in the equation. A dealership sells cars and trucks. The number of trucks is 24 more than twice th      Log On


   

Question 1184388: Write an equation to represent the situation. Let c represent the number of cars in the equation.
A dealership sells cars and trucks. The number of trucks is 24 more than twice the number of cars for sale. If there are 102 vehicles for sale, how many cars are available for sale at the dealership?
Simplify each side of the equation but don't solve.
I came up with 3c+24=102 but it was marked wrong.
Found 2 solutions by MathLover1, ikleyn:
Answer by MathLover1(20849) About Me  (Show Source):
You can put this solution on YOUR website!


The number of cars is c, and the number of trucks is t
The number of trucks t is 24 more than twice the number of cars for sale.
The number of trucks is t=c%2B24
If there are 102 vehicles for sale, how many cars are available for sale at the dealership?

c%2Bt=102.............substitute t
c%2Bc%2B24=102
2c%2B24=102


Answer by ikleyn(52781) About Me  (Show Source):
You can put this solution on YOUR website!
.
Write an equation to represent the situation. Let c represent the number of cars in the equation.
A dealership sells cars and trucks. The number of trucks is 24 more than twice the number of cars for sale.
If there are 102 vehicles for sale, how many cars are available for sale at the dealership?
Simplify each side of the equation but don't solve.
~~~~~~~~~~~~~~~~~ 

If the number of cars is "c", then the number of trucks is (2c+24), according to the problem's description.


Equation representing the total number of vehicles is


    c + (2c + 24) = 102.


Simplifying, you can get


    c + 2c = 102 - 24,

or

     3c    = 78.