A farmer sells apples at a local market. The farmer sells 5 baskets of apples on the first day and then sells 3 more baskets each day after that. After 7 days, the farmer has sold a total of 26 baskets of apples. How many baskets of apples did the farmer sell each day?

Answer 1

Let's say the number of baskets sold on each day after the first day is x.
On the first day, the farmer sold 5 baskets.
From the 2nd day to the 7th day, the farmer sold 3 more baskets each day, a total of 3*6 = <<3*6=18>>18 baskets.
In total, the farmer sold 5+18 = <<5+18=23>>23 baskets in 7 days.
If the total number of baskets sold in 7 days was 26, then the farmer sold an additional 26-23 = <<26-23=3>>3 baskets on the 7th day.
Since the farmer sold 3 more baskets on the 7th day, they sold 5+3 = <<5+3=8>>8 baskets on the 7th day.
The farmer therefore sold x = 8 - 3 = <<8-3=5>>5 baskets on each of the 2nd to 6th days. Answer: \boxed{5}.