SOLUTION: Hi! I am a 7th grade pre-algebra student and I was trying to complete a homework packet with this title: Percent Proportion Word Problems. The directions are: Solve each word probl
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Question 1019908: Hi! I am a 7th grade pre-algebra student and I was trying to complete a homework packet with this title: Percent Proportion Word Problems. The directions are: Solve each word problem. Show each proportion and label each answer. The question I need help on is as follows:
The movie theater has 250 seats. 225 seats were sold for the current showing. Write a proportion and solve for the percent of seats that are empty.
I tried out this problem and set up my proportion like this: 225 x
--- = ---
250 100
when I solved for x using the cross multiply method, I got: 22,500 = 250x and then I divided by 250 so: 22,500 = 250x
------ ----
250 250
My answer was x = 90%. I thought this was a good answer but when I looked back, my answer didn't seem to make sense. I would GREATLY appreciate it if someone could help me out and explain to me what I did wrong! So for any replies I get: thanks in advance!!!
P.S. I'm sorry my proportions look a little weird on the computer but it's supposed to be 225 over 250 equals x over 100. For the division it was supposed to be 22,500 over/ divide by 250 equals 250x over/divide by 250. Once again, I'm really sorry if this caused any confusion.
Found 2 solutions by stanbon, LinnW:
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
Hi! I am a 7th grade pre-algebra student and I was trying to complete a homework packet with this title: Percent Proportion Word Problems. The directions are: Solve each word problem. Show each proportion and label each answer. The question I need help on is as follows:
=====================================================
The movie theater has 250 seats. 225 seats were sold for the current showing. Write a proportion and solve for the percent of seats that are empty.
I tried out this problem and set up my proportion like this:
225 x
--- = ---
250 100
-----
Note:: 225 is the number of seats sold (filled)
250-225 is the number of seats that are empty.
---
x/100 = 25/250
x = 100*(1/10) = 10%
-------------------------
Cheers,
Stan H.
Answer by LinnW(1048) (Show Source): You can put this solution on YOUR website!
The number of empty seats is 250 - 225 = 25, the total capacity minus those
already filled.
The percentage empty is just = converted to
percent which gives us 10%
Your proportion is the proportion of the theater
that is filled.
The correct proportion would be or
The cross product here is 25x = 2500
Divide each side by 25
x = 10 percent
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