Shoes are on sale, buy one and get the cheaper pair 50% off. Jane and Janette wants to buy shoes and share equal amount of discount. If the pair of shoes that Jane wants to buy is 120, and the pair that Janette wants to buy is 60, how much do they each have to pay?

I tried to make some equations up, but I can't seem to figure it out.

dont u just divide by 2 because 50% is half of one hundred

The full price for both is 60+120 = 180

Therefore the two of them get 90 back, or 45 each if they split the discount.
Jane = 120 - 45 = 75
Janette = 60 - 45 = 15

To determine how much Jane and Janette each have to pay, we'll follow these steps:

Step 1: Calculate the discount for each pair of shoes
Since Jane's pair is priced at $120 and Janette's pair is priced at $60, we need to find the discount for each pair. According to the sale, the cheaper pair gets a 50% discount.

For Jane's pair:
Discount for Jane's pair = 50% of $120 = 0.5 * $120 = $60

For Janette's pair:
Discount for Janette's pair = 50% of $60 = 0.5 * $60 = $30

Step 2: Calculate the amount each person pays after the discount
Since Jane and Janette want to share an equal amount of discount, we divide the discount equally between them.

For Jane:
Amount Jane pays = Price of Jane's pair - Discount for Jane's pair
= $120 - $60
= $60

For Janette:
Amount Janette pays = Price of Janette's pair - Discount for Janette's pair
= $60 - $30
= $30

So, Jane has to pay $60, and Janette has to pay $30.