SOLUTION: At Gwen's garage sale, all books were one price, and all magazines were another price. Harriet bought four books and three magazines for $1.45, and June bought two books and five m
Algebra.Com
Question 334692: At Gwen's garage sale, all books were one price, and all magazines were another price. Harriet bought four books and three magazines for $1.45, and June bought two books and five magazines for $1.25. What was the price of a book and what was the price of a book and what was the price of a magazine?
Answer by nyc_function(2741) (Show Source): You can put this solution on YOUR website!
4B + 3M = 145 cents
2B + 5M = 125 cents
This second equation tells you that buying twice as much will give you:
4B + 10M = 250 cents
So, now, compare the two equations:
4B + 3M = 145 cents
4B + 10M = 250 cents
Since both have the same number of books, the only difference is in the number of magazines:
7 extra magazines accounts for 105 cents (subtracting 10M - 3M, and 250 - 145).
So, magazines must cost 15cents, or $0.15 each.
And putting this value into one of the original equations:
4B + 3 * 15 = 145
4B = 100
B = 25 cents = $0.25
So, magazines cost $0.15, and books cost $0.25.
RELATED QUESTIONS
Books and magazines. At Gwen’s garage sale, all books were one price, and all magazines... (answered by checkley77)
please help me solve this word problem
Books and magazines. At Gwen’s garage sale,... (answered by josmiceli)
Books and magazines. At Gwen’s garage sale, all books were one price, and all magazines... (answered by richwmiller)
At Gwen’s garage sale, all books
were one price, and all magazines were another price.... (answered by Mathtut)
At Gwen’s garage sale, all books
were one price, and all magazines were another price.... (answered by Greenfinch)
Books and magazines. At Gwen’s garage sale, all books were one price, and all magazines... (answered by mananth)
Write a system of two equations in two unknowns for each problem Solve the systems by the (answered by checkley71)
At Gwen's garage sale, all books were one price, and all magazines were another price.... (answered by algebrapro18)
At gwen's garage sale, all books were one price, and all magazines were another price.... (answered by algebrapro18)