Giving Crayons a Second Chance

Sometimes restaurants give out “kid menus” and crayons. The problem is, when kids leave, the restaurant can’t give the used crayons to other kids, because that spreads germs. Sadly, they have to throw out these new crayons. Between 45,000 and 75,000 pounds of new crayons go into landfills every year. So one dad, Bryan Ware, started The Crayon Initiative: Restaurants and schools ship him their leftover crayons, and he melts them, pours the wax into molds, and lets them cool to make thicker, triangle-shaped crayons. He gives them to kids in hospitals to cheer them up. So you can send any extra crayons you have to The Crayon Initiative to help make more and to save the environment!

Wee ones: How many sides does a triangle have?

Little kids: If you can fit 7 regular crayons in one hand but just 3 of the fat ones in the other, how many can you hold altogether?  Bonus: How many more do you have in one hand than the other?

Big kids: If every 3 regular crayons can be melted to make 2 fat triangle ones, how many new crayons can he make from a dozen regular ones?  Bonus: If 20 restaurants in your town each serve 100 kids a week and give 4 crayons to each, how many crayons could they save together each week?

The sky’s the limit: Bryan’s molds make 96 crayons at a time. If the 96 slots are in neat rows across and down, and there are at least 4 rows in each direction, how many pairs of numbers of rows across and down could there be? (You don’t have to double-count the pairs where the numbers are the same but switched.)