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amid [387]
3 years ago
12

At the movie theatre, child admission is $6.10 and adult admission is $9.20 . On Thursday, three times as many adult tickets as

child tickets were sold, for a total sales of $707.70 . How many child tickets were sold that day?
Mathematics
1 answer:
natita [175]3 years ago
4 0

Answer:

21 child tickets.

Step-by-step explanation:

Let x represent number of adult tickets and y represent number of child tickets.  

We have been given that on Thursday, three times as many adult tickets as child tickets were sold. We can represent this information in an equation as:

x=3y...(1)

We have been given that at a the movie theater, child admission is $6.10 and adult admission is $9.20.The all tickets were sold for a total of $707.70. We can represent this information in an equation as:

9.20x+6.10y=707.70...(2)  

Upon substituting equation (1) in equation (2), we will get:

9.20(3y)+6.10y=707.70  

27.6y+6.10y=707.70

33.7y=707.70

\frac{33.7y}{33.7}=\frac{707.70}{33.7}

y=21

Therefore, 21 child tickets were sold on Thursday.

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____________________________________________________

Answer:

Your answer would be 3 miles.

____________________________________________________

Explanation and work:

To find the answer for this question, we would use the numbers we know that was provided in the question and use it to get us the answer.

The equation we would use in this type of question is the Pythagorean Theorem.

Pythagorean Theorem:

a² + b² = c²

When you draw out the different locations, it would end up looking like a triangle since you trying to find the diagonal line from the grocery store to the house. In the triangle, it would be the hypotenuse. I will put a picture below.

Lets start solving:

1.8 would be plugged into "a"

2.4 will be plugged into "b"

(1.8)² + (2.4)² = c²

 ↓          ↓        ↓

3.24  + 5.76 =  c²

          ↓

          9  = c²

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