Answer to Question #331792 in Trigonometry for Shang

Question

Solve each of the following problems. Follow Polya's four stages of problem solving in your solution.

10. You take a sheet of paper and tear it in half, then place the two2 pieces of paper on top of one another and tear them in half. This process yields four pieces of , paper. You place them on top of one another and tear them i half again. Imagine continuing this process through 22 such tears. How many layers are now in the pile of paper?

11. Pilar has six daughters and no son. Some of her daughters have six daughters, and the rest have none. Bertha has a total of 30 daughters and granddaughters, but she has no great-granddaughters. How many of Pilar's daughters and granddaughters. have no daughters?

12. On a balance scale, two spools and one thimble balance eight buttons.Also, one spool balances one button. How many buttons will balance one spool?

Answer 1

10. $2^{22}=4194304$

11.6+6n=30

n - number of daughter of Pilar, that have daughters.

6n=24

n=4

So Pilar has 6 daughters and 24 granddaughter

12. If one spool balances one button, means, that their mass are equal, so 1 button will balance one spool.