In a certain year, brand a of heart-rate watch cost $39.99 and brand b cost $59.99. a nonprofit community health organization purchased 34 heart-rate watches for use at a wellness center. if the organization spent $1619.66 for the watches, how many of each type did they purchase?

Brand A = 21 heart-rate watches.

Brand B = 13 heart-rate watches.

Step-by-step explanation:

Let A be the number of Brand A heart watches and B be the number of Brand B heart watches.

We have been given that a nonprofit community health organization purchased 34 heart-rate watches for use at a wellness center.

We can represent this information in an equation as:

We have been given that in a certain year, brand A of heart-rate watch cost $39.99 and brand B cost $59.99 and the organization spent $1619.66 for the watches.

We can represent this information in an equation as:

We will use substitution method to solve our system of equations.

From equation (1) we will get,

Substituting in equation(2) we will get,

Therefore, the organisation purchased 13 heart-rate watches of brand B.

Now let us substitute B=13 in equation (1).

Therefore, the organisation purchased 21 heart-rate watches of brand A.

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