Give the step-by-step reasoning process and then the final answer. Yvonne brings a box of chocolates to school. Half have nuts and half do not. The students eat 80% of the ones with nuts and eat half of the ones without nuts. If there are 28 chocolates left, how many chocolates were in the box?
The ones with nuts that they ate was 40% of the box because 80% x .5 = 40%. The ones without nuts that they ate equaled 25% of the box because 50% x .5 = 25%. They ate 65% of the box because 40 + 25 = 65. They left 35% of the box because 100 - 65 = 35. The box had 80 chocolates because 28 / .35 = 80.
The final answer: 80.