July 2022 Puzzles
1.  There are 16 coins in a bank.  If the coins are all nickels and dimes and they total \$1.05, how many nickels are there?
3. I know the areas of the top, side, and front of a rectangular box.  The top is 112 cm  squared, the side is 84 cm squared, and the front is 48 cm squared.
What are the edgelengths of the box, and what is its volume?
2.  Last week, Donald Duck drove his car from Duckton to Drake City.  He had a dinner date with his girlfriend, Daisy, and he didn't want to be late.  Traveling at a uniform speed, he was one-eighth of the way to his destination by 2:00 P.M.  At 5:00 P.M. he was three-fourths of the way.
What fractional part of his trip had he traveled by 4:00 P.M.

4.  A bottle and a cup exactly balance a coffeepot.  The bottle balances a cup and a saucer.  Three saucers can be used to balance two coffeepots.  How many cups will it take to balance a bottle?
6. Jack and Jill are walking up a hill.  Jill walks 6 meters ever 4 seconds, and Jack walks 5 meters every 3 seconds.  Jill got a head start and walked for 10 seconds and then stopped to wait for Jack.  If Jack then starts to walk, how long will it take him to reach Jill?

5.  A group of students are playing cards, but they're not playing with a full deck.  If each student gets 8 cards, there is one card left over.  But if each students gets only five cards, then there is a stack of 19 cards left over.  How many students are playing cards?