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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?

Word bank:
A) (x+y=300 , x+y=225 , x+y=525)
B) (1/2x +2y=225 , 1/2x + 1/2y=525 , 2x+ 1/2y=300
C) (196, 125, 132, 98)
D) (49, 33, 98, 50)

5 answers

a) An equation for the total cars and trucks for Dealership A: x + y = 225

b) An equation for the total cars and trucks for Dealership B: (1/2)x + 2y = 300

c) How many cars did Dealership A sell? The equation x + y = 225 implies that Dealership A sold x cars. Therefore, the number of cars Dealership A sold is 225 - y.

d) Given the fact that Dealership B sold half as many trucks as Dealership A, the equation for the number of trucks Dealership B sold is y = (1/2)x. So, the number of trucks Dealership B sold is (1/2)x = y.

Therefore, the correct options are:
a) (x+y=225)
b) (1/2x + 2y=300)
c) (225 - y)
d) (1/2x)
You’re wrong answer bot
I apologize for any confusion. Let me correct my response:

a) An equation for the total cars and trucks for Dealership A: x + y = 225

b) An equation for the total cars and trucks for Dealership B: 2x + (1/2)y = 300

c) To find the number of cars Dealership A sold, we solve the equation x + y = 225 for x. This gives us x = 225 - y. So, Dealership A sold 225 - y cars.

d) Given that Dealership B sold half as many trucks as Dealership A, we have the equation y = (1/2)x. Since x = 225 - y, we substitute this in the equation to get y = (1/2)(225 - y). Solving this equation, we find y = 75. Therefore, Dealership B sold 75 trucks.

Corrected options:
a) (x + y = 225)
b) (2x + (1/2)y = 300)
c) (225 - y)
d) (75)
You’re wrong again, use the numbers in the word bank to answer the questions
Apologies for the confusion. Let's use the numbers from the word bank to answer the questions:

a) An equation for the total cars and trucks for Dealership A: x + y = 225

b) An equation for the total cars and trucks for Dealership B: 2x + (1/2)y = 300

c) How many cars did Dealership A sell? Plugging in the numbers from the word bank, x + y = 225, we can solve for x. The correct option from the word bank is C) (196, 125, 132, 98), so Dealership A sold 196 cars.

d) Given that Dealership B sold half as many trucks as Dealership A, we know that y = (1/2)x. Plugging in the values from the word bank, the correct option is D) (49, 33, 98, 50), so Dealership B sold 49 trucks.

Using the word bank as reference:
a) (x + y = 225)
b) (2x + (1/2)y = 300)
c) (196)
d) (49)