SOLUTION: A person purchased a number of machines for $280. If he purchased by the same amount of money a number of machines that is less than the original number by 4 machines, the price of

Algebra ->  Equations -> SOLUTION: A person purchased a number of machines for $280. If he purchased by the same amount of money a number of machines that is less than the original number by 4 machines, the price of      Log On


   



Question 957531: A person purchased a number of machines for $280. If he purchased by the same amount of money a number of machines that is less than the original number by 4 machines, the price of the machines would increase by $8. How many machines did he purchase.
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
Let +n+ = the number of machines
he purchased
+280%2Fn+ = the price for 1 machine
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+280%2F%28+n+-+4+%29+=+288%2Fn+
Multiply both sides by +n%2A%28+n-4+%29+
+280n+=+288%2A%28+n+-+4+%29+
+280n+=+288n+-+1152+
+8n+=+1152+
+n+=+144+
He bought 144 machines
check:
+280%2F%28+144+-+4+%29+=+288%2F144+
+280%2F140+=+288%2F144+
+2+=+2+
OK