August 2021 Puzzles
1.  a.  It is a four-digit decimal number.
b.  Each of its digits is divisible by 3.
c.  It is less than 10 but greater than 1.
d.  Its tenth digit is its smallest digit.
e.  Its thousandths digit is its largest digit.
f.   Each of its digits is different.
g.  Its one digit is 2/3 of its thousandths digit.
2.  The mean weight of twelve boulders is twenty-five pounds.  Adding another boulder increases the mean weight to twenty-nine pounds.  What is the weight of the thirteenth boulder?
3.  The mean of a list of seven numbers is 45.  If I add two numbers to this list, the mean of the list becomes 37.  What is the mean of the two numbers that I add to the list?
4.  Molly is making 2 boxes of Cheesy Mac for 6 children.  One box of Cheesy Mac provides 2.5 servings.  One child is hungry and will eat 3/5 of a box.  Two children snacked all afternoon, and each will eat 30% of one serving.  Two children are toddlers and will eat 3/4 of one serving. The final child will eat 60% of what the hungry child will eat.  Did Molly make enough?  How much will each child eat?
6.  If 1 blue equals 3 greens, 6 reds equal 3 blues, and 3 yellows equal 9 reds, then 10 yellows will equal how many greens?
5.  What is unique about 8549176320?