Manhattan Prep
United Telephone charges a base rate of $10.00 for service, plus an additional charge of $0.25 per minute. Atlantic Call charges a base rate of $12.00 for service, plus an additional charge of $0.20 per minute. For what number of minutes would the bills for each telephone company be the same?
A. 2 minutes
B. 10 minutes
C. 20 minutes
D. 40 minutes
E. 60 minutes
OA D.
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United Telephone charges a base rate of $10.00 for service,
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Brent@GMATPrepNow
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Let x = the number of minutes usedAAPL wrote:Manhattan Prep
United Telephone charges a base rate of $10.00 for service, plus an additional charge of $0.25 per minute. Atlantic Call charges a base rate of $12.00 for service, plus an additional charge of $0.20 per minute. For what number of minutes would the bills for each telephone company be the same?
A. 2 minutes
B. 10 minutes
C. 20 minutes
D. 40 minutes
E. 60 minutes
OA D.
United Telephone charge = $10.00 + $0.25x
Atlantic Call charge = $12.00 + $0.20x
For what number of minutes would the bills for each telephone company be the same?
In other words, for what value of x does $10.00 + $0.25x EQUAL $12.00 + $0.20x?
Let's find out....
10.00 + 0.25x = 12.00 + 0.20x
Subtract 10 from both sides to get: 0.25x = 2 + 0.20x
Subtract 0.20x from both sides to get: 0.05x = 2
Solve: x = 2/0.05 = 40
ASIDE: If you're not crazy about dividing by decimals, you can always take 2/0.05 and create an EQUIVALENT fraction first.
Take: 2/0.05
Multiply top and bottom by 100 to get: 200/5, which equals 40
Answer: D
Cheers,
Brent
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An alternate approach is to PLUG IN THE ANSWERS.AAPL wrote:Manhattan Prep
United Telephone charges a base rate of $10.00 for service, plus an additional charge of $0.25 per minute. Atlantic Call charges a base rate of $12.00 for service, plus an additional charge of $0.20 per minute. For what number of minutes would the bills for each telephone company be the same?
A. 2 minutes
B. 10 minutes
C. 20 minutes
D. 40 minutes
E. 60 minutes
When the correct answer is plugged in, the two companies will charge the same amount.
B: 10 minutes
Since United charges $10 plus $0.25 per minute, the charge from United = 10 + 10(0.25) = $12.50.
Since Atlantic charges $12 plus $0.20 per minute, the charge from Atlantic = 12 + 10(0.20) = $14.00.
In this case, United's charge is lower than Atlantic's.
Eliminate B.
D: 40 minutes
Since United charges $10 plus $0.25 per minute, the charge from United = 10 + 40(0.25) = $20.
Since Atlantic charges $12 plus $0.20 per minute, the charge from Atlantic = 12 + 40(0.20) = $20.
Success!
The correct answer is D.
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I have worked with students based in the US, Australia, Taiwan, China, Tajikistan, Kuwait, Saudi Arabia -- a long list of countries.
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As a tutor, I don't simply teach you how I would approach problems.
I unlock the best way for YOU to solve problems.
For more information, please email me (Mitch Hunt) at [email protected].
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Jeff@TargetTestPrep
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We can let n = the number of minutes and create the equation:AAPL wrote:Manhattan Prep
United Telephone charges a base rate of $10.00 for service, plus an additional charge of $0.25 per minute. Atlantic Call charges a base rate of $12.00 for service, plus an additional charge of $0.20 per minute. For what number of minutes would the bills for each telephone company be the same?
A. 2 minutes
B. 10 minutes
C. 20 minutes
D. 40 minutes
E. 60 minutes
10 + 0.25n = 12 + 0.2n
0.05n = 2
n = 40
Answer: D
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