Problema Solution

a local electronics store will sell 7 AC adaptors and 2 rechargeable flashlights for $86 or 3 AC adaptors and 4 rechargeable flashlights for $84. What is the price of a single AC adaptors and a single rechargeable flashlight?

Answer provided by our tutors

let


a = the price of a single AC adapter

f = the price of a single rechargeable flashlight


a local electronics store will sell 7 AC adaptors and 2 rechargeable flashlights for $86


7a + 2f = 86


3 AC adaptors and 4 rechargeable flashlights for $84


3a + 4f = 84


by solving the system of equations


7a + 2f = 86

3a + 4f = 84


we find


a = $8


f = $15


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the price of a single AC adapter is $8.

the price of a single rechargeable flashlight is $15.