Question

Rhonda uses a pan balance and metric weights to measure the masses of two large books.

She recorded the weights that she used in the table below.

Note: 1 kg = 1000 g

1-kilogram
weights 500-gram
weights 100-gram
weights 10-gram
weights
Book A 1 0 7 4
Book B 0 3 1 8


Which book has a greater mass? How many grams greater is it? Use the drop-down menus to complete the sentences below.


Choose
book has the greater mass. It is
Choose
grams greater.

Answer 1

To determine which book has a greater mass and by how much, we can calculate the total mass of each book using the weights Rhonda recorded.

### Book A:
- 1 kg weights: 1 × 1000 g = 1000 g
- 500 g weights: 0 × 500 g = 0 g
- 100 g weights: 7 × 100 g = 700 g
- 10 g weights: 4 × 10 g = 40 g

**Total mass of Book A:**
\[ 1000 g + 0 g + 700 g + 40 g = 1740 g \]

### Book B:
- 1 kg weights: 0 × 1000 g = 0 g
- 500 g weights: 3 × 500 g = 1500 g
- 100 g weights: 1 × 100 g = 100 g
- 10 g weights: 8 × 10 g = 80 g

**Total mass of Book B:**
\[ 0 g + 1500 g + 100 g + 80 g = 1680 g \]

### Conclusion:
Now we compare the masses:
- Mass of Book A: 1740 g
- Mass of Book B: 1680 g

**Book A has the greater mass. It is 60 grams greater.**

### Complete the sentences:
**Book A** has the greater mass. It is **60** grams greater.