The total price of a basic computer and a printer was $2,500. If the same printer had been purchased with an enhanced computer whose price was $500 more than the price of the basic computer, then the price of the printer would have been / frac{1}{5} of that total. What was the price of the basic computer?

Question

Mathematics

Lillie Nunez

9 August, 21:43

The total price of a basic computer and a printer was $2,500. If the same printer had been purchased with an enhanced computer whose price was $500 more than the price of the basic computer, then the price of the printer would have been / frac{1}{5} of that total. What was the price of the basic computer?

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Answers (1)

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Felicity Richard · Answer 1

Answer: Basic Computer is $1900

Step-by-step explanation:

BC: basic Computer

P: Printer

EC: enhanced computer

BC + P = 2500

EC + P = X

EC = BC + 500

X/5 = P → X = 5P

BC + P = 2500

BC + 500 + P = 5P

BC + P = 2500

BC - 5P + P = - 500

BC + P = 2500

BC - 4P = - 500

Subtracting

5P = 3000

P = 600 → BC = 2500 - P = 2500 - 600 = 1900