every row and column contains the same numbers and the same math signs, but they are arranged in a different order each time. can you find the correct order to arrive at the finals totals shown.
only using 4 8 3 5 and * + - to make
31 15 20 21 9 17 11 27 ...but you only can use the symbos and numbers once...please...help...me...:( :( :(
See:
http://www.jiskha.com/display.cgi?id=1260923464
To solve this problem, we need to find the correct order of arranging the numbers 4, 8, 3, 5, and the math signs (+, -, *) to achieve the given final totals. We can approach this problem systematically by considering each row and column separately.
Let's start with the first row, which has a target sum of 31. To reach 31, the arrangement could be something like:
8 * 4 + 3 + 5 = 31
Next, let's move on to the second row, with a target sum of 15. We can rearrange the numbers and signs in several ways to achieve this sum. One possible arrangement is:
5 * 3 + 8 - 4 = 15
For the third row, the target sum is 20. Again, there are multiple possibilities:
4 * 5 - 8 + 3 = 20
Now, let's consider the fourth row, which has a target sum of 21. A possible arrangement could be:
3 + 5 * 4 - 8 = 21
Moving onto the first column, with a target sum of 9, we can arrange the numbers and signs to achieve this result, for instance:
4 - 8 + 3 + 5 = 9
Next, the second column has a target sum of 17. Here's one possible arrangement:
8 + 5 + 3 + 4 - 8 = 17
For the third column, with a target sum of 11, we can arrange it like:
8 - 5 + 3 + 5 = 11
Lastly, the fourth column has a target sum of 27. A possible arrangement is:
4 * 8 - 5 = 27
So, the correct order to arrive at the given final totals is:
8 * 4 + 3 + 5 = 31
5 * 3 + 8 - 4 = 15
4 * 5 - 8 + 3 = 20
3 + 5 * 4 - 8 = 21
4 - 8 + 3 + 5 = 9
8 + 5 + 3 + 4 - 8 = 17
8 - 5 + 3 + 5 = 11
4 * 8 - 5 = 27
Note that there might be other valid solutions, but this arrangement satisfies the given conditions.