Problema Solution

Sharon bought 5 children's books and 3 children's videos for $52.60. Lauren bought 4 children's books and 2 children's videos for $38.90. How much did each children's book cost?

Answer provided by our tutors

let


b = the cost of one book, b>0

v = the cost of one video, v>0


Sharon bought 5 children's books and 3 children's videos for $52.60


5b + 3v = 52.60


Lauren bought 4 children's books and 2 children's videos for $38.90


4b + 2v = 38.90


by solving the system of equations


5b + 3v = 52.60

4b + 2v = 38.90


we find


b = $5.75


v = $7.95


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the cost of the children's book was $5.75.