Problema Solution
For a project in statistics class, a pair of students decided to invest in two companies, one that produces software and one that does biotechnology research. Umesh purchased 21 shares in the software company and 34 shares in the biotech firm, which cost a total of $2,393. At the same time, Heidi invested a total of $50 in 1 share in the biotech firm. How much did each share cost?
Each share in the software company cost $_____, and each share in the biotech firm cost $_______.
Answer provided by our tutors
let
s = the cost of a share in the software company
b = the cost of a share in the biotech firm
Umesh purchased 21 shares in the software company and 34 shares in the biotech firm, which cost a total of $2,393
21s + 34b = 2393
Heidi invested a total of $50 in 1 share in the biotech firm thus b = $50
by solving the equation
21s + 34*50 = 2393
we find
s = $33
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Each share in the software company cost $33, and each share in the biotech firm cost $50.