Brett has a grocery bag with 15 total pieces of fruit. He can have apricots, oranges, or a combination of apricots and oranges 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 apricots Number of oranges
9
7
4
2

Answer 1

To find the combinations of apricots and oranges that add up to a total of 15 pieces of fruit, we can set up the equation:

\[ \text{Number of apricots} + \text{Number of oranges} = 15 \]

Based on the given number of apricots, we'll calculate the corresponding number of oranges for each case:

1. If there are 9 apricots: \[ 9 + \text{Number of oranges} = 15 \implies \text{Number of oranges} = 15 - 9 = 6 \] Combination: 9 apricots, 6 oranges

2. If there are 7 apricots: \[ 7 + \text{Number of oranges} = 15 \implies \text{Number of oranges} = 15 - 7 = 8 \] Combination: 7 apricots, 8 oranges

3. If there are 4 apricots: \[ 4 + \text{Number of oranges} = 15 \implies \text{Number of oranges} = 15 - 4 = 11 \] Combination: 4 apricots, 11 oranges

4. If there are 2 apricots: \[ 2 + \text{Number of oranges} = 15 \implies \text{Number of oranges} = 15 - 2 = 13 \] Combination: 2 apricots, 13 oranges

Here is a summary of the combinations:

• 9 apricots, 6 oranges
• 7 apricots, 8 oranges
• 4 apricots, 11 oranges
• 2 apricots, 13 oranges