Question

Part A: Over the weekend, several students from Class 501 met for breakfast at Hugo’s house. Hugo ate ¼ of a box of cereal. Eliezel ate 3/8 of the same box of cereal. What portion of the cereal box did they eat in all?
Part B: Raniece came over shortly after Eliezel. She ate 4/16 of the same box of cereal as Hugo and Eliezel. How much of the cereal box was now eaten?

Part C: Finally, Loren was last to arrive. She was very hungry by the time she got to Hugo’s. She said that there would be enough cereal left in the box after her three friends had their portion for her to eat ¼ of the box. Does Loren’s conjecture make sense? Why or why not? Explain.

Answer 1

Answer:

Part A. 5/8

Part B. 7/8

Part C. No.

Step-by-step explanation:

If Hugo ate 1/4 of the box of cereal and Eliezel ate 3/8 of the same box, altogether they ate

1/4 + 3/8 = 5/8 of the box of cereal.

If Raniece ate 4/16 of the box of cereal, altogether the three of them ate

4/16 + 5/8 = 7/8 of the box of cereal.

What is left is

1 - 7/8 of the box of cereal which is 1/8.

Therefore, Loren's conjecture doesn't make sense.