what are the equations to set up this problem?

Question

The price of item A is 20% less than the price of the item B. If it costs $45 for both items A and B, find the price of each item.

Answer 1

well, you have to use algebra; for that, you must adopt a statement such as let b = unit price of item b.

Then you know that 0.8b is the price of item A because 20% reduction means 80% of the comparative price.

Then, understanding the first two sentences, you write 0.8b + b = 45