Dumb father needs help for 6 grade math puzzle!

• Sep 18th 2009, 04:52 PM
CAPTxSMACK
I am new to message boards so if this is the wrong place for this math puzzle, i do apologize.

My son brought home a puzzle that has my whole family stumped.
I need the answer to this puzzle... please! (Nod) Using numbers 1-9 only once must = 100 (must use same formula below)

__ / __ x __ + __ x __ x __ /__ + __ x __ = 100
example: 8 / 1 x 3 + 4 x 2 x 5 / 9 + 7 x 6 = 228.6666

But i need it to = 100.
Thanks to anyone who can help. I will donate \$10 to this site for your time. Thank you..... Oh and they all must be whole numbers in each space.

Sorry if I am not explaining it right.
• Sep 18th 2009, 07:15 PM
Wilmer
Quote:

Originally Posted by CAPTxSMACK
__ / __ x __ + __ x __ x __ /__ + __ x __ = 100
example: 8 / 1 x 3 + 4 x 2 x 5 / 9 + 7 x 6 = 228.6666

OK Papa; I see from your example that the idea is to go left to right and
and perform the operations in order, disregarding precedence (which
means do dividing and multiplication before additions).

Here's one solution:
1 / 2 x 5 + 7 x 4 x 6 / 9 + 8 * 3 = 100

That's the 1st one of a total of 212 possible solutions!

The last one is:
9 / 8 x 4 + 2 x 6 x 1 / 3 + 7 * 5 = 100
• Sep 18th 2009, 07:26 PM
Wilmer
Quote:

Originally Posted by CAPTxSMACK
__ / __ x __ + __ x __ x __ /__ + __ x __ = 100

Just in case the intention is to use order of precedence, which means do
multiplications and divisions first, then adding, you'd need to go this way:
(__ / __ x __) + ( __ x __ x __ /__) + (__ x __ )

So you'd get 3 amounts (one for each set of brackets), then add them.

An example:
(1 / 2 x 6) + (5 x 7 x 8 / 4) + (3 x 9) = 100
That's 3 + 70 + 27 = 100