Final answer:
The total cash payments made by Emily Frank's business in July is $2,500 for rent, and the purchases on account are $2,800 from Tilly's Toys, totaling $5,300 in recorded transactions.
Step-by-step explanation:
The total amount of purchases Emily Frank's business made in July would include the merchandise bought on account from Tilly's Toys, which is $2,800. However, to calculate total cash payments, we have the cash paid for the July rent via check no. 414, which is $2,500. Without more information on the merchandise purchased from Scheer, only the mentioned transactions can be considered. Therefore, the total cash payments made by Frank's Fantasy in July is $2,500, and the total purchases on account is $2,800, summing up to $5,300 in transactions that can be recorded.