SOLUTION: Miscellaneous Problem: A museum charges $5 for admission ticket, but members receive a $1 discount and students are admitted for half price. One Saturday, 1,050 tickets were sol

Algebra.Com
Question 875436: Miscellaneous Problem:
A museum charges $5 for admission ticket, but members receive a $1 discount and students are admitted for half price. One Saturday, 1,050 tickets were sold for a total of $4,035. If 35 more students' tickets than full price tickets were sold, find number of each type of tickets sold.

Answer by josgarithmetic(39628)   (Show Source): You can put this solution on YOUR website!
Normal charge, $5
Members, $4
Students, $2.5

x, y, z, for count of tickets sold as Normal, Members, Students.

and .
The additional ticket relationship description means , which is equivalent to .

You can use a matrix,


I used an online matrix calculator, http://www.math.purdue.edu/~dvb/gaussian.php ,
and found these results:
----------
x=225
y=565
z=260
----------

RELATED QUESTIONS

i need help with the following word problem: a museum charges $10 for a regular... (answered by ankor@dixie-net.com)
a museum charges $5 for admission tickets, but members receive a 1$ discount and students (answered by josmiceli)
Ticket sales: A science museum charges $10 for a regular admission ticket, but members... (answered by MRperkins)
Here is a problem I can't figure out for the lifeof me. Museum charges $10 for regular... (answered by LilSkittleMd)
The price p (in dollars) varies directly with the number of admissions to a museum. The... (answered by tutorcecilia)
A small art museum charges $5 for an adult ticket and $3 for a student ticket. At the... (answered by ikleyn)
a small art museum charges $5 for an adult ticket and $3 for a student ticket . at the... (answered by ankor@dixie-net.com)
Hey, could someone please help me with these: Emma is going to a concert with four... (answered by rothauserc)
the price p (in dollars) varies directly with the number of admissions to a museum. The... (answered by fractalier)