SOLUTION: A local Computer City sells batteries ($2) and small boxes of pens ($8). In August, total sales were $936. Customers bought 8 times as many batteries as boxes of pens. How many of

Algebra ->  Finance -> SOLUTION: A local Computer City sells batteries ($2) and small boxes of pens ($8). In August, total sales were $936. Customers bought 8 times as many batteries as boxes of pens. How many of       Log On


   



Question 1036893: A local Computer City sells batteries ($2) and small boxes of pens ($8). In August, total sales were $936. Customers bought 8 times as many batteries as boxes of pens. How many of each did Computer City sell?
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
Let +p+ = number of boxes of pens sold
Let +b+ = number of batteries sold
--------------------------------
(1) +8p+%2B+2b+=+936+
(2) +b+=+8p+
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Substitute (2) into (1)
(1) +8p+%2B+2%2A%288p%29+=+936+
(1) +8p+%2B+16p+=+936+
(1) +24p+=+936+
(1) +p+=+39+
and
(2) +b+=+8p+
(2) +b+=+8%2A39+
(2) +b+=+312+
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39 boxes of pens were sold
312 batteries were sold
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check:
(1) +8p+%2B+2b+=+936+
(1) +8%2A39+%2B+2%2A312+=+936+
(1) +312+%2B+624+=+936+
(1) +936+=+936+
OK