Solve the following question and mark the most appropriate option. Opening Christmas presents was always an exciting occasion at Rachel’s house. This year, to add more fun to the occasion, she decided to pack her husband Michael’s gift in a different fashion. To wrap up the gift she first took a large box. Inside this large box, she placed 15 medium boxes of the same size. Each of these medium boxes, she either left empty or filled with 15 small boxes of the same size. In one of these small boxes, she placed the gift for Michael. When Michael unwrapped his gift, he found that 7 boxes had boxes inside them. What was the total number of empty boxes?
Question
Solve the following question and mark the most appropriate option.
Opening Christmas presents was always an exciting occasion at Rachel’s house. This year, to add more fun to the occasion, she decided to pack her husband Michael’s gift in a different fashion. To wrap up the gift she first took a large box. Inside this large box, she placed 15 medium boxes of the same size. Each of these medium boxes, she either left empty or filled with 15 small boxes of the same size. In one of these small boxes, she placed the gift for Michael. When Michael unwrapped his gift, he found that 7 boxes had boxes inside them. What was the total number of empty boxes?
Solution
To solve this problem, we need to understand the structure of the boxes. There is one large box, inside which there are 15 medium boxes. Out of these 15 medium boxes, 7 have small boxes inside them, which means 8 medium boxes are empty.
Now, each of the 7 medium boxes that have boxes inside them contains 15 small boxes. But only one of these small boxes contains the gift, which means the rest are empty.
So, the total number of empty small boxes is 7 (medium boxes) * 15 (small boxes per medium box) - 1 (box with the gift) = 104.
Adding this to the 8 empty medium boxes, we get a total of 112 empty boxes.
So, the most appropriate option is that there were 112 empty boxes.
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