Ava has a grocery bag with 15 total pieces of fruit. She can have peaches, apricots, or a combination of peaches and apricots 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 15 pieces of fruit.
Number of peaches Number of apricots
10
6
3
1

Answer 1

To find combinations of peaches and apricots that total 15 pieces of fruit, we can set up an equation:

Let \( p \) be the number of peaches and \( a \) be the number of apricots. The equation is:

\[ p + a = 15 \]

We can fill in the combinations based on the values given for peaches:

1. If there are 10 peaches:

   • \( a = 15 - 10 = 5 \)
   • Combination: 10 peaches, 5 apricots

2. If there are 6 peaches:

   • \( a = 15 - 6 = 9 \)
   • Combination: 6 peaches, 9 apricots

3. If there are 3 peaches:

   • \( a = 15 - 3 = 12 \)
   • Combination: 3 peaches, 12 apricots

4. If there is 1 peach:

   • \( a = 15 - 1 = 14 \)
   • Combination: 1 peach, 14 apricots

Here are the combinations summarized:

• 10 peaches, 5 apricots
• 6 peaches, 9 apricots
• 3 peaches, 12 apricots
• 1 peach, 14 apricots

These are some of the possible combinations of fruit Ava can have in her grocery bag!