A computer is on sale for $1600, which is a 20% discount off the regular price. What is the regular price?
Let's call the regular price Y
A 20% discount off the regular price is discount of (20/100)xY
Since the computer is on sale for 1600:
1600 = Y - (20/100)xY
Factor out the Y
1600 = Y (1 - 20/100)
1600 = Y ( 80/100)
Multiply both sides by 100/80
(1600)(100/80) = Y(80/100)(100/80)
Any fraction times its reciprocal is 1, so:
2000 = Y
Flip the sides
Y = 2000
This the regular price is $2,000.
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