Philip is sorting acorns he collected. He has 92 acorns: 66 still have their tops, 26 do not. Philip wants to sort the acorns into groups with the same number of acorns, including some with groups with the same number of acorns, including some with and without tops. Which answer best shows how Philip can represent how he could sort the acorns?

Question

24(3+1)
2(33+13)
1(66+26)
6(11+4)

Answer 1

To determine how Philip can represent the sorting of his 92 acorns, we can analyze the options provided.

1. 24(3+1): This seems to represent 24 groups of 4 acorns each, which would total 96 acorns, not matching the 92 acorns he has.

2. 2(33+13): This represents 2 groups of (33 + 13), which equals 2 groups of 46 acorns. This totals 92, so this option fits.

3. 1(66+26): This means 1 group of (66 + 26), which is simply 92, so this option also fits.

4. 6(11+4): This simplifies to 6 groups of (11 + 4), which equals 6 groups of 15. This totals 90 acorns, not matching the 92 acorns he has.

Based on the calculations, the best representations for Philip sorting the acorns would be:

• 2(33 + 13): 2 groups of 46 acorns to make 92.
• 1(66 + 26): 1 group of 92 acorns.

The option 2(33 + 13) represents a method of grouping into smaller collections effectively. Therefore, either 2(33 + 13) or 1(66 + 26) correctly represent how he can sort his acorns, but 2(33 + 13) illustrates the variety of groupings better, as it involves multiple groups rather than one single large group.