Answer:
Let's define the variables:
A = price of one adult ticket.
S = price of one student ticket.
We know that:
"On the first day of ticket sales the school sold 1 adult ticket and 6 student tickets for a total of $69."
1*A + 6*S = $69
"The school took in $150 on the second day by selling 7 adult tickets and student tickets"
7*A + 7*S = $150
Then we have a system of equations:
A + 6*S = $69
7*A + 7*S = $150.
To solve this, we should start by isolating one variable in one of the equations, let's isolate A in the first equation:
A = $69 - 6*S
Now let's replace this in the other equation:
7*($69 - 6*S) + 7*S = $150
Now we can solve this for S.
$483 - 42*S + 7*S = $150
$483 - 35*S = $150
$483 - $150 = 35*S
$333 = 35*S
$333/35 = S
$9.51 = S
That we could round to $9.50
That is the price of one student ticket.
Part a) Total Cost
Total Cost for recapping the tires is the sum of fixed cost and the variable cost. i.e.
The total cost is ( $65,000 fixed) + (15,000 x $7.5)
=$65,000+$112,500
=$177,500
Part b) Total Revenue
Revenue from 1 tire = $25
Total tires recapped = 15000
So, Total revenue = 15000 tires x $25/tire
Total Revenue =$375,000
Part c) Total Profit
Total Profit = Revenue - Cost
Using the above values, we get:
Profit = $375,000 - $177,500
Profit = $197,500
Part d) Break-even Point
Break-even point point occurs where the cost and the revenue of the company are equal. Let the break-even point occurs at x-tires. We can write:
For break-even point
Cost of recapping x tires = Revenue from x tires
65,000 + 7.5 x = 25x
65,000 = 17.5 x
x = 3714 tires
Thus, on recapping 3714 tires, the cost will be equal to the revenue generating 0 profit. This is the break-even point.
Answer:
a) 4 people ordered streak dinner
b) 3 people ordered chicken dinner
Step-by-step explanation:
Let the number of people that ordered steak dinner be x
and the number of people that ordered chicken dinner be y
From the question,
There are 7 people in your family
Hence, we can write that
x + y = 7 ...... (1)
Also from the question
Some order the chicken dinner for $13 and some order the steak dinner for $18 and the total bill was $111.
We can then write that
13y + 18x = 111 ...... (2)
From equation (1)
x + y = 7
Then,
x = 7 - y ...... (3)
Put this into equation (2)
13y + 18x = 111
13y + 18(7 - y) = 111
13y + 126 - 18y = 111
-5y = -15
5y = 15
y = 15 / 5
y = 3
Put the value of y into equation (3) to get x
x = 7 - y
Then
x = 7 - 3
x = 4
Hence, 4 people ordered streak dinner
and 3 people ordered chicken dinner
a) 4 people ordered streak dinner
b) 3 people ordered chicken dinner
Answer:
24 pg per hour
Step-by-step explanation:
Divide 312 by 13, and the result will be 24. Hope it helps!
G(-2) = 8 + 5(2)
= 8 - 10
= - 2
