Cara has a grocery bag with 13 total pieces of fruit. She can have pears, peaches, or a combination of pears and peaches in the bag. What combinations of fruit could be in the bag?

Question

Fill in some combinations of fruit that could be in the bag to have a total of 13 pieces of fruit.
Number of pears Number of peaches
5
6
12
13
Excellent!
Plot the points we solved for in the table to show combinations of pears and peaches that equal 13 total pieces of fruit on the graph.
Number of pears Number of peaches
5 8
6 7
12 1
13 0
Great job!
We can connect the points you just plotted with a line. Take a look at one point, (9, 4). What does the point (9, 4) represent?
x
y
0
1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
0
1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
Number of pears
Number of peaches
The point (9, 4) means there are 9
and 4
.

This combination of fruit
be in the bag.
Excellent!
Now look at another point, (12, 6). What does the point (12, 6) represent?
x
y
0
1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
0
1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
Number of pears
Number of peaches
The point (12, 6) means there are 12
and 6
.

This combination of fruit
be in the bag.

Answer 1

The point (9, 4) means there are 9 pears and 4 peaches. This combination of fruit could be in the bag.

Now, for the point (12, 6), this means there are 12 pears and 6 peaches. However, this combination is not possible as it exceeds the total of 13 pieces of fruit (12 + 6 = 18).

Instead, let's summarize the points mentioned correctly as follows:

1. The point (9, 4) means there are 9 pears and 4 peaches. This combination of fruit could be in the bag.
2. The point (12, 1) means there are 12 pears and 1 peach. This combination of fruit could be in the bag as it adds up to a total of 13 pieces of fruit (12 + 1 = 13).

If you meant to refer to an alternate valid point with a correct total, please clarify!