Awagon is on sale for  20%  off. the sale price of the wagon is  $114. what was the original price of the wagon, assuming no sales tax is paid on the item? round your answer to the nearest cent.

The 114 represents 80% of the total price before the sale. You would set up your equation as

Cost Price * 80% = Sale Price.

Sale Price = 114

80% = 80/100 = 0.8

Cost Price = 114/0.8

Cost Price = 142.50 which is the price before the deduction. You can confirm this by taking 20% of 142.50 and subtracting it form 142.50

20% * 142.50

20/100 * 142.50

2850/100

28.50

Now subtract 28.50 from 142.50

142.50 - 28.50 = 114 which is just what you might expect.

option a is correct.

step-by-step explanation:

scale factor: it is used to find proportional measurements.

proportions means having the same ratio.

scale factor is the ratio of the model measurement to the actual measurement in a simplest form.

or we can say that the ratio of any two corresponding lengths in two similar geometric figures

if the scale factor is more than 1, then it is an enlargement,

if the scale factor less than 1, then it is a reduction.

given the two geometric figure:

by definition of proportions, we have