Question

a grocery bag has some apples and plums in it. there are 10 total pieces of fruit in the bag. what combinations of whole fruit could be in the bag? keep going. fill in more combinations of fruit that could be in the bag. number of apples number of plums 10 0 9 1 7 3 4 2 0

Explanation:

Step1: Define total fruit count

Let total fruit = $10$, apples = $A$, plums = $P$. Rule: $A + P = 10$

Step2: Calculate plums for 4 apples

Substitute $A=4$: $P = 10 - 4$
$P=6$

Step3: Calculate plums for 2 apples

Substitute $A=2$: $P = 10 - 2$
$P=8$

Step4: Calculate plums for 0 apples

Substitute $A=0$: $P = 10 - 0$
$P=10$

Answer:

Number of apples	Number of plums
9	1
7	3
4	6
2	8
0	10

Additionally, the full set of all possible whole-fruit combinations includes: (8 apples, 2 plums), (6 apples, 4 plums), (5 apples, 5 plums), (3 apples, 7 plums), (1 apple, 9 plums)