Question

Toys to Place in Bins ANALYZE TABLES A store is organizing toys into bins. The toys must be put into bins so that each bin contains the same number of toys without mixing the toys. 5. What is the greatest number of toys that can be put in a bin? 6. How many bins are needed for each type of toy?

Answer 1

The question requires you to place toys in a bin such that each bin contains the same number of toys without mixing them.That means, for each bin, you're going to need to arrange the toys in the order;

`\begin{gathered} \text{Anemones; 2}**2*3 \\ \text{Limpets; 2}*7 \\ \text{Snails; 2}*3*3 \\ \text{Observe that the only number common to all three toys is 2} \\ \text{You cannot arrange in threes or sevens, only in twos} \\ \text{Hence, for Bin Anemone, you would need }(12)/(2)\text{ bins} \\ \text{Bin Anemones=}6\text{ bins} \\ \text{For Bin Limpets you would need }(14)/(2)\text{ bins} \\ Limpets=7\text{ bins} \\ \text{For Bin Snails you would need }(18)/(2)\text{ bins} \\ \text{Snails}=9\text{ bins} \end{gathered}`