SOLUTION: There were 360 people at a play. The admission price was $3 for adults and $1 for children. The admission receipts totaled $740. How many adults and how many children attended?

Question 221194: There were 360 people at a play. The admission price was $3 for adults and $1 for children. The admission receipts totaled $740. How many adults and how many children attended?
Answer by drj(1380) (Show Source): You can put this solution on YOUR website!
There were 360 people at a play. The admission price was $3 for adults and $1 for children. The admission receipts totaled $740. How many adults and how many children attended?

Step 1. Let x be the number of adult tickets.

Step 2. Let 3x be the dollar value of adult tickets.

Step 3. Let 360-x be the number of children tickets

Step 4. Let 360-x be the dollar value of children tickets since they are $1 each.

Step 5. Then 3x+360-x=740 since the admission receipts totaled $740.

Step 6 Simplifying yields the following steps

Subtract 360 from both sides of the equation

Divide 2 to both sides of the equation

Check dollar value......a true statement.

Step 7. ANSWER: There are 190 adult tickets and 170 children tickets sold.

I hope the above steps were helpful.

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And good luck in your studies!

Respectfully,
Dr J

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