Alejandro loves to go to the movies .He goes both at night and during the he day

Mathematics

1 answer:

Alex17521 [72]3 years ago

8 0

The number of matinee movies attended is 4.

The number of a evening show movies attended is 2.

Step-by-step explanation:

Let x represent the number of matinee movies attended.
Let y represent the number of evening show movies attended.

Alejandro went to see a total of 6 movies.

Therefore, from the given data the equation can be framed as :

⇒ x + y = 6 ----------(1)

The cost of a matinee is $7.
The cost of an evening show is $12.
Alejandro spent a total of $52.

Therefore, from the given data the equation can be framed as :

⇒ 7x + `12y = 52 ---------(2)

To solve the equations for x and y values :

Mulitply eq (1) and by 7 and subtract eq (2) from eq (1),

7x + 7y = 42

- (7x + 12y = 52)

- 5y = - 10

⇒ y = 10/5

⇒ y = 2

The number of a evening show movies attended is 2.

Substitute y=2 in eq (1),

⇒ x+2 = 6

⇒ x = 6-2

⇒ x = 4

The number of matinee movies attended is 4.

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