Total chairs = 5000. March: 16% of total = 800 chairs. Ratio of Wheel (W) to Office (O) chairs in March = 3:5. In June: Wheel ($W_{J}$) = 5/8 * ($W_{M}$). Ratio of Office ($O_{M}$) to Office ($O_{J}$) = 5:3.

Calculate March components first: $W_M = 300$, $O_M = 500$. Then apply given factors: $W_J = \frac{5}{8} \times 300 = 187.5$ (Wait, check ratio), $O_J = \frac{3}{5} \times 500 = 300$. Sum for June = $187.5 + 300 = 487.5$. Check rounding or data interpretation.

Many students fail to realize that chair counts must be integers or miscalculate the total base value for the specific months, or confuse the ratio direction (e.g., flipping W:O ratio).

Always verify if the calculated value is an integer when dealing with countable items like chairs; if not, re-check the ratio proportions or interpretation of the multipliers.