A game is regularly priced at 22. For a sale, the price was reduced by 40%.
(a) Let x be the reduction in price (in dollars). Using the values below, create a proportion that can be used to find x.
Values:
_________ _________
(b) Use the proportion from part (a) to find the reduction in price. Do not round any computations.
(a) Let x be the reduction in price (in dollars). Using the values below, create a proportion that can be used to find x.
Original Price: $22
Discounted Price: $22 - x
Proportion:
Original Price / Discounted Price = 100% / 40%
22 / (22 - x) = 100% / 40%
(b) Use the proportion from part (a) to find the reduction in price. Do not round any computations.
Using the proportion from part (a), we can cross-multiply and solve for x:
40% * 22 = 100% * (22 - x)
0.4 * 22 = 1 * (22 - x)
8.8 = 22 - x
x = 22 - 8.8
x = 13.2
The reduction in price is $13.2.