During a sale at the bookstore, books sold for $5 and magazines sold for $4.50. Luca spent $37 and bought a total of 8 books and magazines. How many of each did he buy?

She bought 2 books and 6 magazines.

Step-by-step explanation:

Given,

Price of a book = $ 5

Price of a magazine = $ 4.50

Total amount of book Luca bought = $ 37

Total number of books she bought = 8

To find the number of books and magazine she bought.

Let, she bought  x number of books ans y number of magazines.

According to the problem,

x+y = 8 eq 1

5x+4.50y = 37 eq 2

or, 10x+9y = 74 [ multyplying eq 2 by 2]

Putting x = 8-y from eq 1 into eq 2 we get,

10(8-y)+9y = 74

or, 80-10y+9y = 74

or, -y = 74-80

or, -y = -6

or, y = 6

From eq 1 we get,

x = 8-6 = 2

Hence,

She bought 2 books and 6 magazines.

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11279

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