SOLUTION: I am struggling with helping my son on his homework. The problem seems to be missing a quantifying statement to will help delineate the problem. The problem reads as follows: "

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Question 675515: I am struggling with helping my son on his homework. The problem seems to be missing a quantifying statement to will help delineate the problem. The problem reads as follows:
" Tickets for a school dance cost $7 in advance and $11 at the door. If 109 students attended the dance and the total spent was $887, how many tickets were bought in advance and how many at the door?"
Thanks in advance
Kevin

Found 2 solutions by ReadingBoosters, MathLover1:
Answer by ReadingBoosters(3246) About Me  (Show Source):
You can put this solution on YOUR website!
x = advance
y = door
...
x+y = 109
7x+11y=887
...
rearrange the first equation as x = 109 - y and substitute into the second equation.
...
7(109-y) + 11y = 887
763 - 7y + 11y = 887
4y = 887 - 763
4y = 124
highlight_green%28y+=+31%29 tickets sold at the door
...
x = 109 - 31 = highlight_green%28x=78%29 tickets in advance
.....................
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Answer by MathLover1(20849) About Me  (Show Source):
You can put this solution on YOUR website!

a stands for advanced tickets
d stands for door tickets
a+%2B+d+=+109....eq. 1 ...than a+=+109-d
7a+%2B+11d+=+887.........eq. 2
Now substitute 109-d in for a in the equation 2
7%28109-d%29+%2B11d+=+887...solve for d
763+-7d+%2B+11d+=+887
4d+=+887-763
4d+=+124
highlight%28d+=+31%29
now substitute 31 in eq.1 for d and find a
a+%2B+d+=+109
a+%2B+31+=+109
a+=+109-31
highlight%28a+=+78%29
Now check:
7a+%2B+11d+=+887
7%2878%29+%2B+11%2831%29+=+887
546+%2B+341+=+887
887+=+887 (correct)