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

Answer 1

A possible way for Philip to represent how he can sort the acorns is by using a table with two columns.

On the left column, he can write "Acorns with Tops" and label the rows with numbers representing the different possible numbers of acorns with tops in each group (e.g. 0, 2, 4, 6, etc.).

On the right column, he can write "Acorns without Tops" and label the rows with numbers representing the different possible numbers of acorns without tops in each group (e.g. 0, 2, 4, 6, etc.).

He can then fill out the table by finding pairs of numbers that add up to 92 (the total number of acorns) and placing one number in the left column and the other number in the right column.

For example, he can have one row with "Acorns with Tops" = 26 and "Acorns without Tops" = 66, as this represents a group with 26 acorns without tops and 66 acorns with tops.

He can continue to fill out the table with different combinations until he has sorted all the acorns.