10.1 Pan Balance Problems

1. 10.1 Pan Balance Problems SRB 212 & 213

2. Pan Balances • Scales should always be balanced. (Hands-on Equations) • You may remove the same amount of the same object from both sides of the balance. (Hint: remove the smaller amount from each side) • Use your operations to figure out the equivalent balances.

3. One diamond weighs as much as _____ squares. I can remove 2 squares from each side. If 2 ◊ = 6 □, then 1 ◊ = 3 □ One diamond weighs as much as three squares. Example 1 □□□□□□□□ □□◊◊ □□□□□□ ◊◊

4. Example 2 Example 2 One x weighs as much as four y’s. One x weighs as much as _____ y’s. I can remove 8x’s from each side. I can remove 14y’s from each side. If 16y’s = 4x’s, then 4y’s = 1x 8x 30y 12x 14y 16y 4x