eremy 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

Answer 1

To find the combinations of pears and peaches that add up to a total of 13 pieces of fruit, we can use the equation:

\[ \text{Number of pears} + \text{Number of peaches} = 13 \]

Using this equation, we can determine the number of peaches for each given number of pears:

1. If Number of pears = 5: \[ \text{Number of peaches} = 13 - 5 = 8 \] Combination: 5 pears, 8 peaches

2. If Number of pears = 6: \[ \text{Number of peaches} = 13 - 6 = 7 \] Combination: 6 pears, 7 peaches

3. If Number of pears = 12: \[ \text{Number of peaches} = 13 - 12 = 1 \] Combination: 12 pears, 1 peach

4. If Number of pears = 13: \[ \text{Number of peaches} = 13 - 13 = 0 \] Combination: 13 pears, 0 peaches

Here are the filled combinations of fruit that could be in the bag:

| Number of pears | Number of peaches | |------------------|-------------------| | 5 | 8 | | 6 | 7 | | 12 | 1 | | 13 | 0 |