Problema Solution

An electronic store will sell five AC adaptors and three rechargeable flashlights for $130, or seven AC adaptors and six rechargeable flashlights for $200. What is the price of a single AC adaptor and a single rechargeable flashlights?

Answer provided by our tutors

let


a = the price of a single AC adapter

f = the price of a single rechargeable flashlights


5 AC adapters and 3 rechargeable flashlights cost $130


5a + 3f = 130


7 AC adapters and 6 rechargeable flashlights cost $200


7a + 6f = 200


by solving the system of equations


5a + 3f = 130

7a + 6f = 200


we find


a = $20


f = $10


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the price of a single AC adapter is $20 and the price of a single rechargeable flashlights is $10.