I know that the difference between two consecutive numbers squared is the sum of those consecutive numbers. The two consecutive numbers, whose squares differ by 55, are 13 and 12. I realized that the greatest number of boxes is the greatest common factor of all three numbers. I used the table method to find the GCF. The final set of numbers, 12, 10, and 9, represent the quotient for each amount when divided by the GCF. That means 12, 10, and 9 are the amount of each item to be packed in each box. The greatest number of boxes is 12 boxes. Riley can pack 12 pencils, 10 files, and 9 notebooks into each box. I used a chart to find the least common multiple because I need to find how much time would go by before they were all at the same place. Imelda, Susan, and Clara will meet again in 630 minutes or 10 hours and 30 minutes. 5 squares will cover one row of The 30 inch square. You need to square the 5 to find out how many 5-inch squares cover the area. You would need to use 25 6-inch squares to cover a 30-inch square. This problem is similar to 34, but it is a cube instead of a square. You find out how many cube create one row of the cube, but this time, to find the number of cubes that fill the larger cube, you need to cube the 6. You would need to use 216 6-inch squares to cover a 30-inch square.
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