Question

Beth stocked her video store with a number of video game machines at $79 each and a number of video games at $41 each. If she spent a total of $6358, how many of each item did she purchase?

EXPERT ANSWER

Suppose, Beth bought {eq}a

{/eq} number of video game machines and {eq}b

{/eq} number of video games.

From that we get,

{eq}79*a + 41*b = 6358

{/eq}

Now, we have to find positive solutions to this equation.

Applying