Daniel and Sydney are getting high-speed Internet access at the same time. Daniel's provider charges $60 for installation and $45.95 per month. Sydney's provider has free installation and charges $57.95 per month. After how many months will Daniel and Sydney have paid the same amount for high-speed Internet service?

5 months

Step-by-step explanation:

Daniel's provider charges $60 for installation and $45.95 per month. Sydney's provider has free installation and charges $57.95 per month

Let x = number of months

Daniel = 60 + 45.95x

Sydney = 0 + 57.95x

Equate both equations

60 + 45.95x = 0 + 57.95x

Collect like terms

60 - 0 =57.95x - 45.95x

60 = 12x

Divide both sides by 12

x = 60 / 12

= 5

x = 5 months

Daniel and Sydney would have paid the same amount for high-speed Internet service after 5 months