Problema Solution

A store owner purchased twenty LED light bulbs and thirty CFL bulbs for a total cost of $660. In a second purchase, at the same prices, he purchased thirty LED bulbs and ten CFL bulbs for a total cost of $640. Find the cost of each type of light bulb.

Answer provided by our tutors

let


l = the cost of LED light bulbs per piece

c = the cost of CLF bulbs per piece


A store owner purchased twenty LED light bulbs and thirty CFL bulbs for a total cost of $660


20l + 30c = 660


In a second purchase, at the same prices, he purchased thirty LED bulbs and ten CFL bulbs for a total cost of $640


30l + 10c = 640


by solving the system of equations


20l + 30c = 660

30l + 10c = 640


we find


l = $18


c = $10


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the LED light bulb costs $18.

the CFL light bulb costs $10.