SOLUTION: a department at a store they sell 50 ml and 100 ml of perfume bottles, seventy bottles give a total of 5 llitres of perfume, if each 50 ml bottle is sold for $45 and each 100 ml bo

Algebra ->  Systems-of-equations -> SOLUTION: a department at a store they sell 50 ml and 100 ml of perfume bottles, seventy bottles give a total of 5 llitres of perfume, if each 50 ml bottle is sold for $45 and each 100 ml bo      Log On


   



Question 1133784: a department at a store they sell 50 ml and 100 ml of perfume bottles, seventy bottles give a total of 5 llitres of perfume, if each 50 ml bottle is sold for $45 and each 100 ml bottle is sold for $72, what is the total revenue from the sale of all 70 bottles?
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
+5+ L = +5000+ ml
Let +x+ = number of 50 ml bottles sold
+70+-+x+ = number of 100 ml bottles sold
Let +R+ = revenue from sales of all 70 bottles
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(1) +45x+%2B+72%2A%28+70+-+x+%29+=+R+
(2) +50x+%2B+100%2A%28+70+-+x+%29++=+5000+
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(2) +50x+%2B+7000+-+100x+=+5000+
(2) +50x+=+2000+
(2) +x+=+40+
and
(1) +45%2A40+%2B+72%2A%28+70+-+40+%29+=+R+
(1) +1800+%2B+72%2A30+=+R+
(1) +R+=+1800+%2B+2160+
(1) +R+=+3960+
$3,960 total revenue
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check:
(1) +45x+%2B+72%2A%28+70+-+x+%29+=+R+
(1) +45x+%2B+5040++-+72x+=+3960+
(1) +27x+=+1080+
(1) +x+=+40+
OK