United Telephone charges a base rate of $10.00 for service,

Question

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.

Brent@GMATPrepNow · Answer

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 OA D. Let x = the number of minutes used 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

GMATGuruNY · Answer

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 An alternate approach is to PLUG IN THE ANSWERS. 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.

Jeff@TargetTestPrep · Answer

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 We can let n = the number of minutes and create the equation: 10 + 0.25n = 12 + 0.2n 0.05n = 2 n = 40 Answer: D

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