Equation 1 for tickets sold:
$35x + $25y = $10,250
Equation 2 for quantity (number #) of tickets sold:
x + y = 350
Use substitution method:
y = 350 - x
35x + 25 (350 - x) = $10,250
35x + $8750 - 25x = $10,250
10x + $8750 = $10,250
- $8,750 -$8,750
10x = 1,500
x = 150
y = 350 - 150
y = 200
Check the answers:
$35 (150) + $25 (200) =
$5,250 + $5,000 = $10,250
Let's denote s as the speed limit. To find the total time it takes for Jack to drive given the speed, we just divide the total number of miles he covered (10 miles) by the speed he's traveling at.
Accounting for the given of the problem, we'll have the following equation:
![\frac{10}{s-15} - \frac{10}{s-5}= \frac{1}{30}](https://tex.z-dn.net/?f=%20%5Cfrac%7B10%7D%7Bs-15%7D%20-%20%5Cfrac%7B10%7D%7Bs-5%7D%3D%20%5Cfrac%7B1%7D%7B30%7D%20%20)
(from the fact that the difference between the time it takes to drive five miles below the speed limit versus 15 miles below is 2 mins or
![\frac{1}{30}](https://tex.z-dn.net/?f=%20%5Cfrac%7B1%7D%7B30%7D%20)
hours.)
Since we only have one unknown variable, we can freely solve for s:
![3000=s^{2}-20s+75](https://tex.z-dn.net/?f=3000%3Ds%5E%7B2%7D-20s%2B75)
![0=s^{2}-20s-2925](https://tex.z-dn.net/?f=0%3Ds%5E%7B2%7D-20s-2925)
![s_{1}=65](https://tex.z-dn.net/?f=%20s_%7B1%7D%3D65%20)
![s_{2}=-45](https://tex.z-dn.net/?f=%20s_%7B2%7D%3D-45%20)
(we ignore the negative value since there is no negative <u>speed</u>.)
ANSWER: The speed limit of the freeway is 65 mph.
Answer:
Step-by-step explanation:
Ok what is this even for if it was a real question I would answer it properly