Carcass wrote:
Telephone Company X's monthly charge for long-distance telephone calls is $1.95 plus $0.10 per minute, whereas Telephone Company Y's monthly charge is $5.95 plus $0.08 per minute. For what total number of minutes of long-distance calls per month would the monthly charge for the two companies be the same?
A. 100
B. 120
C. 150
D. 180
E. 200
Kudos for the right answer and explanation
Question part of the project GRE Quantitative Reasoning Daily Challenge - (2021) EDITIONGRE - Math Book Let x = the total number of minutes of long-distance callsTelephone Company X's monthly charge for long-distance telephone calls is $1.95 plus $0.10 per minuteSo, TOTAL charge =
$1.95 + $0.10(x)Telephone Company Y's monthly charge is $5.95 plus $0.08 per minuteTOTAL charge =
$5.95 + $0.08(x)For what total number of minutes of long-distance calls per month would the monthly charge for the two companies be the same? We want to satisfy the equation
$1.95 + $0.10(x) =
$5.95 + $0.08(x)Subtract 1.95 from both sides to get: 0.1x = 4 + 0.08x
Subtract 0.08x from both sides to get: 0.02x = 4
So, x = 4/0.02
= 400/2
= 200
Answer: E
Cheers,
Brent