A company owns two dealerships, both of which sell cars and trucks. Dealership A sells a total of 225 cars and trucks. Dealership B sells twice as many cars and half as many trucks as the Dealership A, and sells a total of 300 cars and trucks.
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 A sell?
d) Given the fact that Dealership B sold HALF as many trucks as Dealership A, how many trucks did Dealership B sell?
a) An equation for the total cars and trucks for Dealership A is:
225 = carsA + trucksA
b) An equation for the total cars and trucks for Dealership B is:
300 = carsB + trucksB
c) To find how many cars Dealership A sold, we can substitute the given equation in the equation for Dealership A:
225 = carsA + trucksA
225 = carsA + (225 - carsA)
225 = 225
So, Dealership A sold 225 cars.
d) Since Dealership B sold half as many trucks as Dealership A, we can express the number of trucks sold by Dealership B in terms of the number of trucks sold by Dealership A:
trucksB = (1/2) * trucksA
trucksB = (1/2) * (225 - carsA) [Since trucksA = 225 - carsA]
Now, to find how many trucks Dealership B sold, we can substitute the given equation for carsA in the equation for Dealership B:
300 = carsB + trucksB
300 = carsB + [(1/2) * (225 - carsA)]
300 = carsB + [(1/2) * (225 - 225)]
300 = carsB + [(1/2) * 0]
300 = carsB
So, Dealership B sold 300 cars.
Therefore, Dealership B did not sell any trucks.
Are you POSITIVE with the answers you have chosen?
Apologies for the incorrect response. Let's reevaluate the equations:
a) An equation for the total cars and trucks for Dealership A:
225 = carsA + trucksA
b) An equation for the total cars and trucks for Dealership B:
300 = carsB + trucksB
c) To find how many cars Dealership A sold, we can substitute the given equation in the equation for Dealership A:
225 = carsA + trucksA
225 = carsA + (2 * carsA) [Since trucksA = 2 * carsA]
225 = 3 * carsA
carsA = 225 / 3
carsA = 75
Therefore, Dealership A sold 75 cars.
d) Given that Dealership B sold half as many trucks as Dealership A, the number of trucks sold by Dealership B can be expressed as:
trucksB = (1/2) * trucksA
trucksB = (1/2) * (225 - carsA) [Since trucksA = 225 - carsA]
Now, to find how many trucks Dealership B sold, we can substitute the values:
trucksB = (1/2) * (225 - 75)
trucksB = (1/2) * 150
trucksB = 75
Therefore, Dealership B sold 75 trucks.
C and D is incorrect
Apologies for the incorrect response. Let's reevaluate the equations:
a) An equation for the total cars and trucks for Dealership A:
225 = carsA + trucksA
b) An equation for the total cars and trucks for Dealership B:
300 = carsB + trucksB
c) To find how many cars Dealership A sold, we can substitute the given equation in the equation for Dealership A:
225 = carsA + trucksA
225 = carsA + (2 * carsA) [Since trucksA = 2 * carsA]
225 = 3 * carsA
carsA = 225 / 3
carsA = 75
Therefore, Dealership A sold 75 cars.
d) Given that Dealership B sold half as many trucks as Dealership A, the number of trucks sold by Dealership B can be expressed as:
trucksB = (1/2) * trucksA
trucksB = (1/2) * trucksA [Since trucksA = 2 * carsA]
Now, we need to determine the value of trucksA to find the number of trucks sold by Dealership B. From equation (a), we know that:
225 = carsA + trucksA
Since we know carsA = 75 (from part c), we can substitute it in the equation:
225 = 75 + trucksA
trucksA = 225 - 75
trucksA = 150
Now, we can find how many trucks Dealership B sold:
trucksB = (1/2) * trucksA
trucksB = (1/2) * 150
trucksB = 75
Therefore, Dealership B sold 75 trucks.
Your clearly doing something wrong cause for c) and d) those arent the options for the answer.
Apologies for the confusion. I made an error in the previous responses. Let's reevaluate the equations:
a) An equation for the total cars and trucks for Dealership A:
225 = carsA + trucksA
b) An equation for the total cars and trucks for Dealership B:
300 = carsB + trucksB
c) To find how many cars Dealership A sold, we can substitute the given equation in the equation for Dealership A:
225 = carsA + trucksA
225 = carsA + (2 * carsA) [Since trucksA = 2 * carsA]
225 = 3 * carsA
carsA = 225 / 3
carsA = 75
Therefore, Dealership A sold 75 cars.
d) Given that Dealership B sold twice as many cars as Dealership A, we can express the number of cars sold by Dealership B in terms of the number of cars sold by Dealership A:
carsB = 2 * carsA
carsB = 2 * 75
carsB = 150
Since we know that the total number of cars and trucks sold by Dealership B is 300, we can find the number of trucks sold by Dealership B:
300 = carsB + trucksB
300 = 150 + trucksB
trucksB = 300 - 150
trucksB = 150
Therefore, Dealership B sold 150 trucks.
Apologies for the error in the previous responses. Thank you for pointing it out.
Is it 150 or 50?
Apologies for the confusion. Let's reevaluate the equations:
a) An equation for the total cars and trucks for Dealership A:
225 = carsA + trucksA
b) An equation for the total cars and trucks for Dealership B:
300 = carsB + trucksB
c) To find how many cars Dealership A sold, we can substitute the given equation in the equation for Dealership A:
225 = carsA + trucksA
225 = carsA + (2 * carsA) [Since trucksA = 2 * carsA]
225 = 3 * carsA
carsA = 225 / 3
carsA = 75
Therefore, Dealership A sold 75 cars.
d) Given that Dealership B sold twice as many cars as Dealership A, we can express the number of cars sold by Dealership B in terms of the number of cars sold by Dealership A:
carsB = 2 * carsA
carsB = 2 * 75
carsB = 150
Since we know that the total number of cars and trucks sold by Dealership B is 300, we can find the number of trucks sold by Dealership B:
300 = carsB + trucksB
300 = 150 + trucksB
trucksB = 300 - 150
trucksB = 150
Therefore, Dealership B sold 150 trucks.
My apologies for the earlier incorrect response. Dealership B sold 150 trucks.