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Question
question
the two-pan balance below holds some bags on one side and some blocks on the other. the bags are made out of paper so light it doesnt affect the balance. each bag has the same number of blocks inside it. the two sides are balanced, or equal (in weight).
how many blocks are in each bag?
Step1: Count total blocks on left
Count the blue blocks: $9 \times 5 = 45$
Step2: Set up equality for balance
Let $x$ = blocks per bag. There are 4 bags, so:
$4x = 45$
Step3: Solve for $x$
$x = \frac{45}{4} = 11.25$
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11.25 blocks are in each bag.