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?

Explanation:

Step1: Define variable for blocks per bag

Let $x$ = number of blocks in each bag.

Step2: Count total blocks per side

Left side: $2x$, Right side: $16$

Step3: Set up balance equation

$2x = 16$

Step4: Solve for $x$

$x = \frac{16}{2}$

Answer:

8