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madskate9993
06.04.2020 •
Mathematics
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.
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Ответ:
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.
Ответ: