Hey Shawn,
For this word problem, we can set up two equations, since we have two unknowns (A and B). These equations can be set up as follows, where A and B represent the # of heart rate watches for each brand:
1. A + B = 32
2. 37.55A + 56.55B = 1410.60
I prefer the "elimination" method for solving this system of equations. Let's perform the calculations and solve! So we can multiply the first equation by 37.55 to eliminate the A term:
1. 37.55 [ A + B = 32] => 37.55A  37.55B = 1201.6
Then we can add the two equations together:
1. 37.55A  37.55B = 1201.6
2. 37.55A + 56.55B = 1410.60
The result:
19B = 209
B=11
If we know B, we can go back into either of the two original equations. Lets do the first equation since its easier to solve for A:
A + B = 32
A + (11) = 32
A = 21
Hope this break down helps you to understand word problems a little bit better! :)
Alex
7/3/2014

Alexander F.