To solve the problem of determining the masses shown on each of the beam balances, we need to carefully analyze each balance and sum up the values indicated by the sliding weights on the beams. Let's break it down step by step.
Triple Beam Balance
####
First Triple Beam Balance
1.
Hundreds Beam: The weight is at the 60 mark.
- Value: \( 60 \) grams
2.
Tens Beam: The weight is at the 30 mark.
- Value: \( 30 \) grams
3.
Ones Beam: The weight is at the 4 mark.
- Value: \( 4 \) grams
Total Mass:
\[
60 + 30 + 4 = 94 \text{ grams}
\]
####
Second Triple Beam Balance
1.
Hundreds Beam: The weight is at the 40 mark.
- Value: \( 40 \) grams
2.
Tens Beam: The weight is at the 50 mark.
- Value: \( 50 \) grams
3.
Ones Beam: The weight is at the 7 mark.
- Value: \( 7 \) grams
Total Mass:
\[
40 + 50 + 7 = 97 \text{ grams}
\]
####
Third Triple Beam Balance
1.
Hundreds Beam: The weight is at the 20 mark.
- Value: \( 20 \) grams
2.
Tens Beam: The weight is at the 80 mark.
- Value: \( 80 \) grams
3.
Ones Beam: The weight is at the 3 mark.
- Value: \( 3 \) grams
Total Mass:
\[
20 + 80 + 3 = 103 \text{ grams}
\]
Four Beam Balance
####
First Four Beam Balance
1.
Thousands Beam: The weight is at the 100 mark.
- Value: \( 100 \) grams
2.
Hundreds Beam: The weight is at the 30 mark.
- Value: \( 30 \) grams
3.
Tens Beam: The weight is at the 60 mark.
- Value: \( 60 \) grams
4.
Ones Beam: The weight is at the 9 mark.
- Value: \( 9 \) grams
Total Mass:
\[
100 + 30 + 60 + 9 = 199 \text{ grams}
\]
Final Answers
1. First Triple Beam Balance: \( 94 \) grams
2. Second Triple Beam Balance: \( 97 \) grams
3. Third Triple Beam Balance: \( 103 \) grams
4. First Four Beam Balance: \( 199 \) grams
Boxed Final Answer
\[
\boxed{94, 97, 103, 199}
\]
Parent Tip: Review the logic above to help your child master the concept of reading triple beam balance worksheet.
