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.
