Final answer:
To find the original price of a suit on sale at 29% off with a sale price of $568, we calculate what price would result in $568 after a 29% discount. This price would be $800 because 71% of the original price equals the sale price.
Step-by-step explanation:
To calculate the regular price of a suit that is on sale for 29% off and has a sale price of $568, we need to determine what 100% of the regular price would be. The sale price represents 71% of the original price since the suit is at a 29% discount (100% - 29% = 71%). To find the original price, we can set up the equation:
71% of original price = $568
To solve this, we convert 71% to a decimal by dividing by 100, which gives us 0.71. The equation becomes:
0.71 × (original price) = $568
We then divide both sides of the equation by 0.71 to isolate the original price.
Original price = $568 / 0.71
When we carry out the division:
Original price = $800
The regular price of the suit is $800.