Adult tickets cost $4 and children tickets cost $1. 285 tickets are sold. And $765 is collected. How many adult tickets were sold.? Use substitution or elimination to solve the problem

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If adult tickets cost $4, and children's tickets cost $1, and 285 tickets total were sold, and the total amount collected is $765, there can only be one possible answer. I believe you will find that 160 adult tickets were sold (total of $640) and 125 children's tickets were sold...

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If adult tickets cost $4, and children's tickets cost $1, and 285 tickets total were sold, and the total amount collected is $765, there can only be one possible answer. I believe you will find that 160 adult tickets were sold (total of $640) and 125 children's tickets were sold (total of $125). Combining these two amounts will give you 285 tickets and a total of $765. Any difference in tickets sold by either adults or children would result in a higher or lower total amount.

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The answer to this is that 160 adult tickets were sold.  This means that 125 children's tickets were sold.  Here is how to solve this problem:

Let's call adult tickets A and children's tickets C.

We know that A + C = 285 because that's how many total tickets were sold.

We know that 4A + C = 765.  That's because each adult ticket sold cost $4 so 4 times the number of adult tickets, plus the number of kids tickets ($1 each) make the total amount collected.

Let's use the first equation to find for C.  C = 285 - A.

Now just substitute that into the other equation and you have

4A + 285 - A = 765.

3A = 480

A = 160

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