<PRE><B>Question 988738</B>
 Full priced ticket sale for nine dollars each, and discounted tickets so for four dollars each.
 your goal as a manager of this movie theater is to make $6000 and sell out 800 seat theater.
 how many full price tickets must be sold and how many discount tickets must be sold in order for you movie theater to make $6000 and fill out 800 seats
:
let f = no. of full priced tickets
let d = no. of discounted tickets
:
Two equations
f + d = 800
d = (800-f); use this form for substitution
and
9f + 4d = 6000
replace d with (800-f)
9f + 4(800-f) = 6000
9f + 3200 - 4f = 6000
9f - 4f = 6000 - 3200
5f = 2800
f = 2800/5
f = 560 full price tickets
then
800 - 560 = 240 discount tickets
:
:
:
See if that adds up
560 * 9 = $5040
240 * 4 = $ 960
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total amt: $6000 </PRE>