Question 4898: Adult tickets for a school fair cost $8 and children's tickets are half the price of an adult ticket. The amount of the adult tickets exceeds the children tickets by 200. How many adults attended this fair? The total receipts for this event are $3400
Answer by Abbey(339)   (Show Source):
You can put this solution on YOUR website! let x = number of adult tickets
8x=the total amount of money the adult tickets earned
Let x-200= number of children tickets sold
4(x-200) = amount of money the children's tickets earned ($4 is half of $8)
the total number of tickets sold:
The total earned:
8x+4(x-200)=$3400
clear the parentheses:
8x+4x-800=3400
Combine like terms:
12x-800=3400
add 800 to both sides:
12x=4200
divide both sides by 12
x=350
350 adult tickets were sold, so 150 childrens tickets were sold (200 more adult than children, 350-200=150)
Check your solution by multiplication:
350 adult tickets * 8 = 2800
150 child tickets *4 = 600
2800+600=3400, so this is correct.
|
|
|
