Johnny has a grocery bag with 14 total pieces of fruit. He can have pears, limes, or a combination of pears and limes 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 14 pieces of fruit.
Number of pears Number of limes
3
8
9
12

Answer 1

To find combinations of pears and limes that total 14 pieces of fruit, we can use the formula:

\[ \text{Number of pears} + \text{Number of limes} = 14 \]

We can find the number of limes for the given number of pears:

1. 3 pears: \[ \text{Number of limes} = 14 - 3 = 11 \]

   • Combination: 3 pears, 11 limes

2. 8 pears: \[ \text{Number of limes} = 14 - 8 = 6 \]

   • Combination: 8 pears, 6 limes

3. 9 pears: \[ \text{Number of limes} = 14 - 9 = 5 \]

   • Combination: 9 pears, 5 limes

4. 12 pears: \[ \text{Number of limes} = 14 - 12 = 2 \]

   • Combination: 12 pears, 2 limes

So, the combinations of fruit in Johnny's bag can be summarized as:

• 3 pears, 11 limes
• 8 pears, 6 limes
• 9 pears, 5 limes
• 12 pears, 2 limes