Question

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

.The cost of a matinee is $7 .The cost of an evening show is 12 .Alejandro went to see a total of 6movies and spent $52. Let x represent the number of matinee movies attended and y represent




the number of evening show movies attended.

Answer 1

The number of matinee movies attended is 4.

The number of a evening show movies attended is 2.

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.