SOLUTION: A store sells televisions for $360 and digital video recorders for $270. At the beginning of the week its entire stock is worth $55,530. During the week it sells three quarters of
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Question 1173984: A store sells televisions for $360 and digital video recorders for $270. At the beginning of the week its entire stock is worth $55,530. During the week it sells three quarters of the televisions and one third of the digital video recorders for a total of $32,310. How many televisions and digital video recorders did it have in its stock at the beginning of the week?
The value of the stock at the beginning of the week, at $360 for each television and $270 for each video recorder, was $55,530:
The sales total for the week, consisting of 3/4 of the televisions and 1/3 of the video recorders, was $32,310:
Multiply the second equation by 3 and subtract the first equation to eliminate y and solve for x. Then use that x value in either original equation to find y.