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Bunuel
A train ride from Birdville to Baytown costs $6.95 more than does a bus ride from Birdville to Baytown. Together, the cost of one train ride and one bus ride is $9.45. What is the cost of a bus ride from Birdville to Baytown?

A. $1.25
B. $2.50
C. $4.10
D. $4.70
E. $8.20


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Simply do this:

Bus ride + Train ride = 9.45
Bus ride + (Bus ride + 6.95) = 9.45
Bus ride = 2.5/2 = $1.25

Answer (A)
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Answer= A. $1.25

Let bus ride = x

Train ride = x + 6.95

Given that 2x + 6.95 = 9.45

2x = 9.5 - 7

x = 1.25
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Bunuel
A train ride from Birdville to Baytown costs $6.95 more than does a bus ride from Birdville to Baytown. Together, the cost of one train ride and one bus ride is $9.45. What is the cost of a bus ride from Birdville to Baytown?

A. $1.25
B. $2.50
C. $4.10
D. $4.70
E. $8.20


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VERITAS PREP OFFICIAL SOLUTION

Correct Answer: A

Explanation: If t is the train ride cost, and b is the bus ride cost, we have the following equations: t = b + 6.95 and t + b = 9.45. Using the first equation to substitute (b + 6.95) for t, we can express the second equation as: b + 6.95 + b = 9.45. This simplifies to 2b + 6.95 = 9.45 , which means that 2b = 2.50, and b = 1.25. Because the question is asking for the cost of the bus ride, the correct answer is A.
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let t = train
b= bus
t+ b =9.45.......(i)
t- b = 6.95......(ii)
if (ii) is subtracted from (i) we can get
2b = 2.50
b = 1.25

ans :A
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Bunuel
A train ride from Birdville to Baytown costs $6.95 more than does a bus ride from Birdville to Baytown. Together, the cost of one train ride and one bus ride is $9.45. What is the cost of a bus ride from Birdville to Baytown?

A. $1.25
B. $2.50
C. $4.10
D. $4.70
E. $8.20

We can let A = the cost of a train ride from Birdville to Baytown and B = the cost of a bus ride from Birdville to Baytown and create the equations:

A = 6.95 + B

and

A + B = 9.45

Substituting, we have:

6.95 + B + B = 9.45

2B = 2.5

B = 1.25

Answer: A
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