Daniel is building a $$learning tower.$$ A learning tower is a small structure that allows small children to help in the

kitchen. The design plans that Daniel is using requires $12$ boards of high quality lumber. At the local home improvement

store, about $88\%$ of the lumber would be high quality, meaning it would be free of defects and usable in this project. To

account for lumber that may be discarded, Daniel purchases $15$ boards of lumber from this store. $($Assume that Daniel is

in a hurry and does not have time to closely inspect the boards while at the store.$)$