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10.1 Pan Balance Problems SRB 212 & 213
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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.
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Example 1 One diamond weighs as much as _____ squares.
One diamond weighs as much as three squares. One diamond weighs as much as _____ squares. I can remove 2 squares from each side. If 2 ◊ = 6 □, then 1 ◊ = 3 □ □□□□□□□□ □□◊◊ □□□□□□ ◊◊
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Example 2 Example 2 One x weighs as much as _____ y’s.
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
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