Charlie gathers apples, pears, and plums. The numbers of apples and plums are 10-partners. There are the same number of apples and pears. How many pieces of fruit can Charlie gather? How do you show the work?

The total number of pieces of fruit that Charlie can gather ranges from 11 to 19.

Step-by-step explanation:

1. Let's review the information given to us to answer the question correctly:

Numbers of apples and plums are 10-partners, it means that the sum of apples and plums is 10.

Number of apples and pears are the same.

2. How many pieces of fruit can Charlie gather?

Apples = a

Plums = p

Pears = s

a + p = 10

Possible values of a and p:

1 + 9, 2 + 8, 3 + 7, 4 + 6, 5 + 5, 6 + 4, 7 + 3, 8 + 2, 9 + 1

Possible values of s:

1, 2, 3, 4, 5, 6, 7, 8, or 9

Therefore, the total number of pieces of fruit that Charlie can gather ranges from 11 to 19.