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?

If there are 7 apples, how many plums are in the bag so that there are 10 total pieces of fruit?
Number of apples Number of plums
10 0
9 1
7

1 answer

To determine how many plums are in the bag when there are 7 apples, we can use the total number of pieces of fruit:

Total fruit = Number of apples + Number of plums

We know:

  • Total fruit = 10
  • Number of apples = 7

Now, we can set up the equation:

10 = 7 + Number of plums

To find the number of plums, we subtract 7 from both sides:

Number of plums = 10 - 7 = 3

So, if there are 7 apples, there will be 3 plums in the bag.

The complete combinations of whole fruit could look like this:

  • 10 apples, 0 plums
  • 9 apples, 1 plum
  • 8 apples, 2 plums
  • 7 apples, 3 plums
  • 6 apples, 4 plums
  • 5 apples, 5 plums
  • 4 apples, 6 plums
  • 3 apples, 7 plums
  • 2 apples, 8 plums
  • 1 apple, 9 plums
  • 0 apples, 10 plums

Thus, the entry you needed is:

  • Number of apples: 7
  • Number of plums: 3