Analyze a number as a sum

[remalguy]

Hello,
I want to analyze any given number as a sum of other given numbers in a table.

Example : Numbers in table (500, 250, 10, 5, 1)
Number : 1306

result : 500x2, 250x1, 10x5, 5x1, 1x1

Thanks in advance

 

[Dave Patton]

Excel 2010
	B	C	D	E	F	G
1
2	1306	500	250	10	5	1
3
3b

Cell Formulas
Range	Formula
B2	=SUMPRODUCT(C2:G2,{2,1,5,1,1})

 

[sheetspread]

Combine Solver with Dave's solution to find the components of different totals.

 

[Eric W]

You can use a "greedy" method like this:

	A	B	C	D
Number	Table	Count

<tbody>
[TD="align: center"]1[/TD]

[TD="align: right"][/TD]

[TD="align: center"]2[/TD]
[TD="align: right"]1306[/TD]
[TD="align: right"][/TD]
[TD="align: right"]500[/TD]
[TD="align: right"]2[/TD]

[TD="align: center"]3[/TD]
[TD="align: right"][/TD]
[TD="align: right"][/TD]
[TD="align: right"]250[/TD]
[TD="align: right"]1[/TD]

[TD="align: center"]4[/TD]
[TD="align: right"][/TD]
[TD="align: right"][/TD]
[TD="align: right"]10[/TD]
[TD="align: right"]5[/TD]

[TD="align: center"]5[/TD]
[TD="align: right"][/TD]
[TD="align: right"][/TD]
[TD="align: right"]5[/TD]
[TD="align: right"]1[/TD]

[TD="align: center"]6[/TD]
[TD="align: right"][/TD]
[TD="align: right"][/TD]
[TD="align: right"]1[/TD]
[TD="align: right"]1[/TD]

</tbody>

Sheet3​

[TABLE="width: 85%"]
<tbody>[TR]
[TD]Array Formulas[TABLE="width: 100%"]
<tbody>[TR="bgcolor: [URL=https://www.mrexcel.com/forum/usertag.php?do=list&action=hash&hash=DAE7F5]#DAE7F5[/URL] "]
[TH]Cell[/TH]
[TH="align: left"]Formula[/TH]
[/TR]
[TR]
[TH="bgcolor: [URL=https://www.mrexcel.com/forum/usertag.php?do=list&action=hash&hash=DAE7F5]#DAE7F5[/URL] "]D2[/TH]
[TD="align: left"]{=INT(($A$2-SUM(IF(ISNUMBER($C$1:$C1),$C$1:$C1,0)*IF(ISNUMBER($D$1:$D1),$D$1:$D1),0))/C2)}[/TD]
[/TR]
</tbody>[/TABLE]
Entered with Ctrl+Shift+Enter. If entered correctly, Excel will surround with curly braces
{}.
Note: Do not try and enter the {} manually yourself[/TD]
[/TR]
</tbody>[/TABLE]

 

[Dave Patton]

If the OP requires a distribution
try the following

Excel 2010
	A	B	C	D	E	F	G
1			Denomination
2	Amount	0	500	250	10	5	1
3	1,306	0	2	1	5	1	1
3bbb

Cell Formulas
Range	Formula
C3	=INT(ROUND($A3-SUMPRODUCT($B3:B3,$B$2:B$2),2)/C$2)

 

[remalguy]

Thank you guys...you made my day :D

 

[Dave Patton]

=INT(($A3-SUMPRODUCT($B3:B3,$B$2:B$2))/C$2) may suffice.