Bonus Puzzle #22?

Question

1) If a number is tripled and then divided by 1/2, the reslut is the same as multiplying the original number by what number?

2) In a right triangle, if the lengths of the legs are 10 and 24, what is the length of the hypotenuse?

4) Engraving costs 62cents for the first 5 letters and 8 cents for each additional letter. How many letters are there in a name which costs $1.66 to engrave?

Answer 1

1)

let x be the number

then 3X /(1/2) = 3 * (2/1)X = 6 X

answer is??? you tell me...

2) a^2 + b^2 = c^2

a is 10, b is 24 so c^2 is ???

hint. 10^2 + 24^2 = 100+576 = 676 = c^2

so what is c????

3) you skipped it

4) i would do it like this.

let x = number of additional letters.

then .62 + .08*x = 1.66
.08x = 1.04
x = 13

so total letters = 5 + additional letters = 5+ what???

Answer 2

Q1. Try an example: 1 x 3 / .5 = 6. Therefore it is the same as multiplying by 6.

Q2. h = square root ( 10^2 + 24^2 )
= square root of ( 100 + 576 )
= square root of 676
= 26

Q3. 62 + 8(n - 5) = 166
8(n - 5) = 104
n - 5 = 13
n = 18

Check answer: 62 + 8 x (18 - 5) = 166. QED

Answer 3

1) 3/2 = 1.5

2) h = √(10² + 24²) = √(100 + 576) = √676 = 26

4) Let x = number of letters
.08(x - 5) + .62 = 1.66
.08x - .40 + .62 + 1.66
.08x = 1.44
x = 1.44/.08 = 18 letters

Answer 4

1) 6

2) 26

3) 5+ 104/8 = 5 +13 = 18

Answer 5

1. 6
2. square root of 676 = 26
3. 18

Answer 6

1. 1.5
2. 26
3. 18 letters