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.

£56

step-by-step explanation:

second option

step-by-step explanation:

the measures of a triangle equal 180. use that to find x.

2x+3x+4x=180

9x=180

9x/9=180/9

x=20

now you know x, you know angle a is 40°, angle b is 60°, angle c is 80°.

because angle a is 40°, the first option doesn't work.

because angle b is 60°, the second option does work.

when you add angle a and b, you get 100°. complementary means it equals 90°, so the third option doesn't work.

when you add angle a and c, you get 120°, which is not 100.