3 years ago

What does p equal? P+2/p+7=3/6

1 answer:

6 0

$\bf \cfrac{p+2}{p+7}=\cfrac{3}{6}\implies \cfrac{p+2}{p+7}=\cfrac{1}{2}\implies 2(p+2)=1(p+7)\implies 2p+4=p+7 \\\\\\ p+4=7\implies p=3$

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saw5 [17]

Answer:

Alejandro went to 8 matinee shows and 4 evening shows.

Our system of equations:

x + y = 12

7x + 12y = 104

Correct statement and question:

Alejandro loves to go to the movies. He goes both at night and during the day. The cost of a matinee is 7 dollars. The cost of an evening show is 12 dollars.

Alejandro went to see a total of 12 movies and spent $ 104. How many of each type of movie did he attend? Write a system of equations.

Source:

Previous question that can be found at brainly

Step-by-step explanation:

Step 1:

Let x to represent the number of matinee shows Alejandro went to.

Let y to represent the number of evening shows Alejandro went to.

Now, let's write our system of equations:

x + y = 12

7x + 12y = 104

*********************

x = 12 - y

*********************

7 (12 - y) + 12y = 104

84 - 7y + 12y = 104

5y = 104 - 84

5y = 20

y = 20/5

y = 4 ⇒ x = 12 - 4 = 8

Alejandro went to 8 matinee shows and 4 evening shows.

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