Molly is making peanut butter cookies. To make a batch of cookies she needs 34 cups of peanut butter, 1.5 cups of sugar, and 1 egg. If Molly has 3 cups of peanut butter, 9 cups of sugar, and 5 eggs, how many batches of cookies can she make?

At a salon, there are nail technicians and hair stylists. the salon owner wants to expand, but can only afford to add no more than 9 new positions. a typical nail technician can see 10 clients per day. a typical hair stylist can see 15 clients per day. the salon owner hopes to be able to see more than 100 clients per day. the new positions constraint is represented by x + y ≤ 9, where x represents the number of nail technicians and y represents the number of hair stylists. find the inequality representing the clients constraint for this situation.