A second-run movie theater sells matinee tickets for $4 on weekdays before 6 pm. The theater sells regular tickets for $6 on weekends and weekdays after 6 pm. In one week, the theater earns $6000 from ticket sales. The theater sold 890 more regular tickets than matinee tickets. How many matinee tickets were sold?
2007-10-23 17:28:38 · 7 answers · asked by ShaZ 1 in Science & Mathematics ➔ Mathematics
890 ($6.00) + X($4.00) = $6000
X = 165
So 165 matinee tickets were sold.
2007-10-23 17:33:25 · answer #1 · answered by Marco 2 · 0⤊ 1⤋
Let y=total revenue from ticket sales
If m=matinée tickets sold and r=regular tickets sold....
y=4m+6r
We also know that r-m=890 because the difference between regular and matinées sales is 890. Rearrange to get:
r=890+m
Substitute...
y=4m+6(890+m)
6000=10m+5340
660=10m
m=66
r-66=890
r=956
2007-10-24 00:37:17 · answer #2 · answered by ToylaK 1 · 0⤊ 0⤋
m = # of matinee tickets sold
r = # of regular tickets sold
Main part is to determine the equations that need to be solved based on the problem:
Equation 1: r = m + 890
Equation 2: $6r + $4m = $6000
Substitute for r in equation 2 and solve for m:
$6(m+890) + $4m = $6000
$6m + $5340 + $4m = $6000
$10m + $5340 = $6000
$10m = $660
m = 66
To check, solve for r in equation #1, then plug in r and m in equation 2:
r = m + 890
r = 66 + 890
r = 956
$6r + $4m = $6000
($6 x 956) + ($4 x 66) = $6000
$5736 + $264 = $6000
$6000 = $6000
2007-10-24 00:44:48 · answer #3 · answered by Alan S 6 · 1⤊ 0⤋
4m + 6r = 6000
m + 890 = r
so substitute
4m + 6(m+890) = 6000
4m + 6m + 5340 = 6000
10m = 660
m = 66
The other answer did not do 890 more
2007-10-24 00:33:56 · answer #4 · answered by leo 6 · 1⤊ 0⤋
4x + 6(890) = 6000
4x + 5340 = 6000
4x = 6000 - 5340
4x = 660
then divide by 4
x = 165
2007-10-24 00:35:26 · answer #5 · answered by Anonymous · 0⤊ 1⤋
x = no. of matinee tickets sold
$4.00x + $6.00(x + 890) = $6,000.00
$4.00x + $6.00x + $5,340.00 = $6,000.00
$10.00x = $660.00
x = 66
Answer: 66 matinee tickets were sold.
Proof (total sales is $6,000.00):
= (66 * $4.00) + ([66 + 890] * $6.00)
= $264.00 + (956 * $6.00)
= $264.00 + $5,736.00
= $6,000.00
2007-10-24 00:39:54 · answer #6 · answered by Jun Agruda 7 · 3⤊ 0⤋
I don't know, well actually I could figure it out really easily I just don't want to. It's your homework kid figure it out yourself!
2007-10-24 00:32:11 · answer #7 · answered by Jamie 4 · 0⤊ 1⤋