Impossipuzzle

“Your cakes,” said Bert, tipping out the bag on the table. “They came to £1.80.”

Jane looked. “They’re fine, and you did get more of the iced ones,” she said. “What did you pay for those?”

Her husband smiled. “As many pence each as the total number of cakes I bought,” he replied. “And I got as many of them as I paid in pence for each of the others.”

How many of each sort?