Matching Mathematics Equation Card Game

My eldest daughter, who was 9 years old at the time, was doing her math homework and after incorrectly answering a multiplication question, paused for a moment and corrected her answer.  I thought, "wouldn't it be nice to have something fun that teaches multiplication?"  From that, I came up with the Multiplication Matching card game.  Equation cards have multiplication equations (from 1 x 1 through 10 x 10).  Total cards have the "products" of multiplication equations (from 1 through 100).  But, the total cards have a "count by" number.  This number is the incremental value for the specific "total" or "product."  An example is the number "30" count by "5."  The number "30" as a "product" can be achieved by three multiplication equations: (5 x 6), (6 x 5), (3 x 10).  If the "count by" number is "5," the applicable multiplication equation is (5 x 6) because to get to the total "30," the count increments by 5: 5, 10, 15, 20, 25, and 30.  There are six increments of 5 (it is counting by 5 six times).

Another example is the number "45" count by "9."  45 can come from (9 x 5), (5 x 9).  But, if the count is by "9" the correct match is (9 x 5): counting by increments of "9" five times: 9, 18, 27, 36, and 45.

The Multiplication Matching card game also allows adding two equations together to match the total card.  An example is the number "56" count by "7."  The correct match is the equation (7 x 8): 7, 14, 21, 28, 35, 42, 49, and 56.  But, adding the equations (7 x 3) and (7 x 5) will also produce the same total: (7 x 3) = 7, 14, and 21 added to (7 x 5) = 7, 14, 21, 28, and 35.  The totals from both equations, 21 and 35, added together equals 56.  But, again, both equations are counting in increments of "7" because the total number "56" has a "count by" number of "7."

We need to sell 1,000 boxes of our Multiplication Matching card game (100 equation cards, 100 total cards, and game rules) for $15/each ($15,000 total) to "kickstart" the game's release and allow us to present the game to major retailers.