Help Me Please!!?

2015-05-25 9:46 pm
At a movie theater, child admission is $6.30 and adult admission is $9.50. On Wednesday, 168 tickets were sold for a total sales of $1311.20. How many child tickets were sold that day?

回答 (4)

2015-05-25 9:53 pm
✔ 最佳答案
"child admission is $6.30 and adult admission is $9.50"
c and a are the number of child and adult tickets, respectively.
sales = 6.30c + 9.50a

"168 tickets were sold for sales of $1311.20"
c+a = 168
a = 168-c

6.30c + 9.50a = 1311.20

substitution:
6.30c + 9.50(168-c) = 1311.20
c = 89
2015-05-25 10:02 pm
child=89$
2015-05-25 9:53 pm
168=a+c solving for a gives, a=168-c

9.5a+6.3c=1311.2 and using a=168-c make the equation become:

9.5(168-c)+6.3c=1311.2

1596-9.5c+6.3c=1311.2

1596-3.2c=1311.2

-3.2c=-284.8

c=89

So 89 child tickets were sold that day...
2015-05-25 11:33 pm
c+a=168, a=168-c, 6.30c+9.50a=1311.20, 630c+950a=131120, 630c+950(168-c)=131120, 630c+159600-950c=131120, 630c+159600=131120+950c, 159600=131120+320c, 28480=320c, c=89, 89+a=168, 89+79=168, 6.30(89)+9.50(79)=1311.20, 560.70+750.50=1311.20, 1311.20=1311.20, 89 child tickets sold.


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