a) Let C be the total number of cars at Dealership A and T be the total number of trucks at Dealership A. Since Dealership A sells a total of 164 cars and trucks, the equation for the total cars and trucks for Dealership A is C + T = 164.
b) Let C' be the total number of cars at Dealership B and T' be the total number of trucks at Dealership B. Since Dealership B sells twice as many cars and half as many trucks as Dealership A, the equation for the total cars and trucks for Dealership B is 2C + 0.5T = 229.
c) To solve for the number of cars Dealership B sells, we can use the equation for the total cars and trucks for Dealership B. Since we know that Dealership B sells 229 cars and trucks, we substitute this value into the equation: 2C + 0.5T = 229.
d) Since Dealership B sold half as many trucks as Dealership A, we can set T' = 0.5T. To solve for the number of trucks Dealership B sells, we substitute this relationship into the equation for the total cars and trucks for Dealership B: 2C + 0.5(0.5T) = 229.
A company owns two dealerships, both of which sell cars and trucks. Dealership A sells a total of 164 cars and trucks. Dealership B sells twice as many cars and half as many trucks as Dealership A, and sells a total of 229 cars and trucks.
(4 points)
a) An equation for the total cars and trucks for Dealership A
b) An equation for the total cars and trucks for Dealership B
c) How many cars did Dealership & sell?
d) Considering that Dealership B sold half as many trucks as Dealership A, how
many trucks did Dealership B sell?
1 answer
1 answer