Answer:
650 tickets for the main floor and 475 tickets for the balcony were sold.
Step-by-step explanation:
From the information given, you can write the following equations:
x+y=1125 (1)
8x+6y=8050 (2), where:
x is the number of tickets for the main floor
y is the number of tickets for the balcony
First, you can solve for x in (1):
x=1125-y (3)
Second, you can replace (3) in (2):
8(1125-y)+6y=8050
9000-8y+6y=8050
9000-2y=8050
9000-8050=2y
950=2y
y=950/2
y=475
Third, you can replace the value of y in (3) to find x:
x=1125-y
x=1125-475
x=650
According to this, the answer is that 650 tickets for the main floor and 475 tickets for the balcony were sold.
He walked
5 miles.


Solutions (via elimination or substitution) are:


x is the number of hours he spent walking, and 5x is the number of miles he walked.

. He walked for 5 miles.
y is the number of hours he spent on the bus, and 60y is the number of miles he rode on the bus.

. He rode the bus for 30 miles.
I’m not quite sure what the question is, but 81 cookies distributed among 44 people would mean that each person gets 0.02 cookies each.
Answer:
The equation of the required line is: 2x + y = 8
Step-by-step explanation:
When a point on the line and the slope of the line are given, we use the slope - one - point form to determine the equation of the line.
Say,
is the point passing through the line and the slope of the line is say,
. Then the equation would be:

Here
and slope,
.
Therefore, the equation of the line becomes:


Rearranging we get:
which is the required equation of the line.