A movie theater charges $6.50 for matinee showings and $8.75 for evening showings. Yesterday the theater sold 378 tickets for a total revenue of $2,929.50. How many matinee tickets were sold?
+8581 Let x=# matinee tickets sold, y=# evening tickets sold.
Then we can derive from the question:
6.5x+8.75y=2929.5
x+y=378
So x=378-y and then
6.5x+8.75y=6.5(378-y)+8.75y=2457-6.5y+...
2929.5=2457+2.25y
2.25y=472.5
y=210
Then just plug y back in to find x
x+y=378
x+210=378
x=168
:)
Hopefully I helped you!
+8581 Let x=# matinee tickets sold, y=# evening tickets sold.
Then we can derive from the question:
6.5x+8.75y=2929.5
x+y=378
So x=378-y and then
6.5x+8.75y=6.5(378-y)+8.75y=2457-6.5y+...
2929.5=2457+2.25y
2.25y=472.5
y=210
Then just plug y back in to find x
x+y=378
x+210=378
x=168
:)
Hopefully I helped you!
tysm, idk if you remember me, but im "pickle" from yesterday xD thx again for the help
How many solutions does the system y = −7x + 3 and y + 7x = 10 have? Explain.
A.
No solutions; the lines are parallel.
B.
One solution; (0, −7)
C.
Infinitely many solutions; the lines are the same.
D.
No solutions; the lines are perpendicular.
+8581 The question is best answered by solving for y in both equations. This is done already in the first, but in the second we must subtract 7x from both sides, leaving us with y = -7x + 10. Because it is in slope-intercept form, we can determine its slope, -7. This is also the case for the equation y = -7x + 3. Because their slopes are the same, yet they are different lines because of the different y-intercept, they never cross in the cartesian plane. There are no solutions.
Helpful at all? :)
