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Word Problem

In a certian year, brand A of heart rate watch cost $37.55 and brand B cost $56.55. A non profit community health organization purchased 32 heart rate watches for use at a wellness center. If the organization spent 1410.60 for the watches how many of each type did they purchase?
The Organization purchased ____ heart rate watches of brand A and ___Heart rate watches of brand B

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Alexander F. | Patient and Passionate University of South Florida Math/Science TutorPatient and Passionate University of Sou...
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
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! :)