SOLUTION: I need help please. Sarah Comar's Candy Store sold a total of 53 pounds of jelly beans, selling two kinds of jelly beans. The first kind was priced at $4.45 per pound, and the seco

Algebra ->  Quadratic Equations and Parabolas -> SOLUTION: I need help please. Sarah Comar's Candy Store sold a total of 53 pounds of jelly beans, selling two kinds of jelly beans. The first kind was priced at $4.45 per pound, and the seco      Log On


   



Question 279568: I need help please. Sarah Comar's Candy Store sold a total of 53 pounds of jelly beans, selling two kinds of jelly beans. The first kind was priced at $4.45 per pound, and the second was priced at $1.12 per pound. In all, $125.96 was taken in for the two types of jelly beans. How many pounds of each kind were sold? ( Let x represent the number of pounds of the first kind and y the number of pounds of the second.
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
given:
x+%2B+y+=+53
445x+%2B+112y+=+12596 (in cents)
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From the 1st equation:
y+=+53+-+x
445x+%2B+112%2A%2853+-+x%29+=+12596
445x+%2B+5936+-+112x+=+12596
333x+=+12596+-+5936
333x+=+6660
x+=+20
and, since
y+=+53+-+x
y+=+53+-+20
y+=+33
20 pounds @ $4.45/lb and 33 pounds @ $1.12/lb were sold
check:
445x+%2B+112%2A%2853+-+x%29+=+12596
445%2A20+%2B+112%2A%2853+-+20%29+=+12596
8900+%2B+3696+=+12596
12596+=+12596
OK