Problem $3-3$A $($Algo$)$

Casey finished designing $29$ custom cakes on an $24-$cake contract as an employee of Yuan Fox Wedding Planners. There is a bonus earned if the individual exceeds $160$ percent of their piece$-$rate contract.

Required:

How many cakes must Casey complete in the remainder of the week to receive the bonus?

Note: Round up your intermediate unit to the nearest whole unit.

Pieces to be completed