Question

Mario is cutting loaves of bread into slices. Each loaf of bread is 15 centimeters tall, 15 centimeters wide, and 30 centimeters long. Each slice is a square.

Mario cuts a loaf into 12 equal slices. He needs at least 5,000 cubic centimeters of bread for a recipe. Mario will need to use at least
slices from this loaf for this recipe.

Mario cuts another loaf into slices that each represent 10% of the loaf. He then cuts each slice in half. The volume of one of these halves is
cubic centimeters.

Mario cuts another loaf into sixteenths. He gives 11 of the slices to his neighbor and the rest to his sister, Catherine. Mario's neighbor received
% more of the loaf of bread than Catherine.

Answer 1

Volume of loaf = 15×15×30 = 6750 cm³.

1) Each of 12 slices: 6750/12 = 562.5 cm³. Needed slices: ceil(5000/562.5) = 9 slices.

2) 10% of loaf = 0.1×6750 = 675 cm³; half of that = 675/2 = 337.5 cm³.

3) Neighbor got 11/16, Catherine 5/16. Difference = 6/16 = (6/5)·(5/16) so neighbor got 120% more than Catherine.

Answers: 9; 337.5 cm³; 120%.