Puzzled numbers

Well done pnp!

 

WTG Pups!

 

Game 6

Which of these math has the highest outcome and what's the outcome when you add them all up?

1th) 7 * (3 + 3/7)
2nd) 4 * 2/4 + 1/5 * 22 * 5
3rd) (6 * 2 * 3 + 36) - 3 * 4 * 4
4th) 6 / (1 - 3/4)
5th) 1/8 * 4 * 4 * 6 * 2

 

All numbers have an outcome of 24.
Sum of all is 120.

 

1th) 7 * (3 + 3/7) = 24
2nd) 4 * 2/4 + 1/5 * 22 * 5 = 440
3rd) (6 * 2 * 3 + 36) - 3 * 4 * 4 = 1,104 - Highest Outcome
4th) 6 / (1 - 3/4) = 24
5th) 1/8 * 4 * 4 * 6 * 2 = 24

24 + 440 + 1,104+ 24 + 24 = 1,606

I think Xristos-ale3andros is correct - but at least I understood (sort of) what I was doing. I think there should have been brackets on 2nd and 3rd!

 

If you want another math lesson illy then read on

The way calculations work is that some symbols take priority over others. Multiplication and division for instance take priority over addition and subtraction. What this means is when you have something like

1+2*3,

then even though the + is the first symbol, the * takes priority and is calculated first, so it's calculated like this

1+2*3 = 1+ (2*3) = 1 + 6 = 7.

If instead you want to calculate the + first, you need to put brackets:

(1+2)*3 = 3*3 = 9.

So in 1+ (2*3) = 7, the bracket can be omitted to make things look less cluttered, while in (1+2)*3 = 9 you absolutely need the bracket there to show that you want to do the + first, even though * has priority.

In the puzzle, 4 * 2/4 + 1/5 * 22 * 5 = (4 * 2/4) + (1/5 * 22 * 5), but the brackets aren't necessary, because they only tell us to calculate the multiplications first, then add, but the multiplications take priority anyway so we don't need the brackets to tell us that.

The third puzzle (6 * 2 * 3 + 36) - 3 * 4 * 4 = (6 * 2 * 3 + 36) - (3 * 4 * 4 ), but also 6 * 2 * 3 + 36 - 3 * 4 * 4 , no brackets are needed at all (although it is not wrong to put them there).

PS. Just in case it isn't clear by now, I do in fact teach mathematics

 

Thanks for the tips, Mir!

I might be able to take that on board for future puzzles - though I don't think I am any real competition so don't worry all you maths experts!

 

You are right! Here's the solution to Game #6:

1th)
3/7 = 0.4285
(3 + 0.4285) = 3.4285
7 * (3.4285) = 24

2nd)
2/4 = 0.5
4 * 0.5 = 2
1/5 = 0.2
0.2 * 22 * 5 = 22
2 + 22 = 24

3rd)
6 * 2 * 3 = 36
36 + 36 = 72
3 * 4 * 4 = 48
72 - 48 = 24

4th)
3/4 = 0.25
(1 - 0.25) = 0.75
6 / (0.75) = 24

5th)
1/8 = 0.125
4 * 4 * 6 * 2 = 192
0.125 * 192 = 24

-> None of the math has the highest outcome, the outcome is the same on all: 24
Totals: 24 + 24+ 24 + 24 + 24 = 120

-Mir85- 4 pts
xristos 3 pts *wins CAC or PPP* *no points reward in game 7*
puppiesnponies 1.5 pts
silim 1.5 pts
12ss12 0.5 pts
illy1996 0.5 pts
SahraB 0.5 pts


Game #7

You are given the numbers: 75, 8, 2, 7, 2, 10
You are given the outcome: 273

Solve the puzzle, make a correct math, using any of the given numbers. Not all numbers need to be used if there's no need to.
Unless given out multiple times each number can only be used once. There's no restriction on the use of +, -, / ,*

 

8 * 2 = 16
16 + 75 = 91
10-7 = 3
91 * 3 = 273

 

(75-((8x2) +(10x2))) x7 = 273

Step wise calculation
(75-((8x2) +(10x2))) x7
= (75-(16+20))x (7)
= ( 75-36)x7
= 39 x 7
= 273

 

2 + 2 + 7 = 11
10 + 8 = 18
18 * 11 = 198
198 + 75 = 273



2 * 2 = 4
4 + 7 = 11
10 + 8 = 18
18 * 11 = 198
198 + 75 = 273

Edit

10*8=80
80-2=78
78*7=546
546/2=273

8/2=4
75*4=300
10*2=20
20+7=27
300-27=273

mod, please join my messages
thanks

 

Well done Silim and 12ss12 on finding and sharing about all possible solutions to game #7. Simply superb!

-Mir85- 4 pts
xristos 3 pts
silim 2.5 pts
puppiesnponies 1.5 pts
12ss12 1 pts
illy1996 0.5 pts
SahraB 0.5 pts


Game #8

Solve the puzzle by replacing the ? with the numbers 0 to 9, using each number once.

(((? * ?) - (? / ?) + (? - ?)) / (? - ?)) * ?? = 200

This puzzle has multiple solutions!

 

Game #8

(((6 *2) - (9 /3) + (7 -1)) / (8 -5))) * 40 = 200

(((7x3) - (9/1) + (8 -4)) / (6 - 2))) * 50 = 200


Düzenle

(((9x2) - (4/1) + (8 - 6)) / (7-3))) * 50 = 200

(((9x2) - (3/1) + (7 - 6)) / (8-4))) * 50 = 200

 

(((8x4) - (9/1) + (3-6)) / (7-5))) * 20 = 200

 

(((8x4) - (6/1) + (3-9)) / (7-5))) * 20 = 200

(((7x3) - (4/1) + (8-9)) / (6-2))) *50 = 200

 

Gosh Silim, you were fast in finding a correct solution and posting a few more. WTG!
Thanks foreverokc for joining the game. Thumbs up for your solution as well!

Solution to game #8

A solution I came up with:

(((9*7) - (8/2) + (5-4)) / (6-3)) * 10 = 200

0123456789

(9*7) = 63 > (7*9 is fine too)
63 - (4) = 59
59 + (1) = 60
60 / (3) = 20
20 * 10 = 200

-Mir85- 4 pts
xristos 3 pts
silim 3.5 pts *wins CAC or PPP* *no points reward in game 9*
puppiesnponies 1.5 pts
12ss12 1 pts
illy1996 0.5 pts
SahraB 0.5 pts
foreverokc21 0.5 pts


Game #9

When 1.5 chicken produce 1.5 egg in 1.5 day how many days will it take 1 chicken to produce a dozen eggs?

 

I admit it's scary

 

12