A grocery bag has some apples and plums in it. There are 10 total pieces of fruit in the bag. The total weight of the apples and plums in the bag is 32 ounces. Each apple weighs 5 ounces, and each plum weighs 2 ounces.

Question

Record the total weight of 9 apples and 1 plum in the table.
Number of
apples Number of
plums Total weight
(oz)
10 0 50
9 1
7 3
4 6
2 8
0 10

Answer 1

Let's calculate the total weight for 9 apples and 1 plum first:

1. Weight of 9 apples:

   • Each apple weighs 5 ounces, so:
     \( 9 \times 5 = 45 \) ounces.

2. Weight of 1 plum:

   • Each plum weighs 2 ounces, so:
     \( 1 \times 2 = 2 \) ounces.

3. Total weight of 9 apples and 1 plum:
   \( 45 + 2 = 47 \) ounces.

Now, let's fill in the table with the calculated weight:

| Number of apples | Number of plums | Total weight (oz) | |------------------|-----------------|--------------------| | 10 | 0 | 50 | | 9 | 1 | 47 | | 7 | 3 | | | 4 | 6 | | | 2 | 8 | | | 0 | 10 | |

Next, we can calculate the remaining weights using the same method:

1. Weight of 7 apples and 3 plums:
   \[ (7 \times 5) + (3 \times 2) = 35 + 6 = 41 \text{ ounces} \]

2. Weight of 4 apples and 6 plums:
   \[ (4 \times 5) + (6 \times 2) = 20 + 12 = 32 \text{ ounces} \]

3. Weight of 2 apples and 8 plums:
   \[ (2 \times 5) + (8 \times 2) = 10 + 16 = 26 \text{ ounces} \]

4. Weight of 0 apples and 10 plums:
   \[ (0 \times 5) + (10 \times 2) = 0 + 20 = 20 \text{ ounces} \]

Now we fill in the remaining total weights in the table:

| Number of apples | Number of plums | Total weight (oz) | |------------------|-----------------|--------------------| | 10 | 0 | 50 | | 9 | 1 | 47 | | 7 | 3 | 41 | | 4 | 6 | 32 | | 2 | 8 | 26 | | 0 | 10 | 20 |

This completes the table with all the necessary weights.