Question 489099: Please help me with these two word problems. My head hurt from try to figure them out. Thank you from the bottom of my heart. 1) The sum of two numbers is 8. One number is 3 times the other. Find the answer. 2) For a Saturday matinee, adult tickets are $4.00 and kids under 12 pay only $2.00. If 91 tickets are sold for a total of $264.00. How many of the tickets were sold to kids under 12?
Answer by ankor@dixie-net.com(22740)   (Show Source):
You can put this solution on YOUR website! 1) The sum of two numbers is 8. One number is 3 times the other.
Find the answer.
two numbers, x & y, write an equation for each statement.
"The sum of two numbers is 8."
x + y = 8
"One number is 3 times the other."
x = 3y
in the 1st equation replace x with 3y and you have
3y + y = 8
4y = 8
y = 8/4
y = 2
I'll let you find x
:
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2) For a Saturday matinee, adult tickets are $4.00 and kids under 12 pay only $2.00.
If 91 tickets are sold for a total of $264.00.
How many of the tickets were sold to kids under 12?
:
Let x = no. of kids under 12 tickets sold
Total ticket sold is 91, therefore:
(91-x) = no. of adult tickets sold
:
the revenue equation
2x + 4(91-x) = 264
2x + 364 - 4x = 264
2x - 4x = 264 - 364
-2x = -100
x = 50 kids tickets
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