Jeremy has a grocery bag with 13 total pieces of fruit. He 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
Great job!
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
Nice!
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.
Nice!
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
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12
13
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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

Let's break down the information regarding the points (9, 4) and (12, 6) to clarify what they represent:

1. For the point (9, 4):

   • x (Number of pears): 9
   • y (Number of peaches): 4
   • This combination of fruit means there are 9 pears and 4 peaches in the bag.

2. For the point (12, 6):

   • x (Number of pears): 12
   • y (Number of peaches): 6
   • This combination of fruit means there are 12 pears and 6 peaches in the bag.

To summarize:

• The point (9, 4) represents 9 pears and 4 peaches.
• The point (12, 6) represents 12 pears and 6 peaches.

However, it's important to note that a combination of 12 pears and 6 peaches would actually total to 18 pieces of fruit, which exceeds the limit of 13. Therefore, the point (12, 6) does not accurately represent a valid combination within the specified total of 13 pieces of fruit.

Valid combinations from the original data could include:

• (5 pears, 8 peaches)
• (6 pears, 7 peaches)
• (12 pears, 1 peach)
• (13 pears, 0 peaches)

So the point (12, 6) does not be a valid combination of fruit in the bag, but rather illustrates that the total exceeds the allowable maximum of 13 pieces.