Answer:
(a)


(b)
Bag of popcorn = $6
Candy = $5
Step-by-step explanation:
Given


Jackson: x = 8; y= 2; Total = 58
Cooper: x = 4; y= 5; Total = 49
Solving (a): System of equation
For Jackson:

This is done by multiplying each variable by the quantity.
Same will be applied to Cooper's purchase:
Cooper:

Solving (b): Price of 1 bag of popcorn and 1 candy
This implies that we solve for x and y
----- (1)
-------- (2)
Multiply the second equation by 2

-------- (3)
Subtract the (1) from (3)



Solve for y


Substitute 5 for y in (1)





Solve for x


This implies:
Bag of popcorn = $6
Candy = $5
It’s number 4 because 1-3 aren’t on the left side
First you would divide 175 by 15 and get 11.6666666667, you would then multiply that by 18 amd get 210.0000000001
Answer:
15 miles
Step-by-step explanation:
Let
be the miles in the circular park path,
the time Louisa takes to finish and
the time Calvin takes to finish both in hours.
Then
, the longitude is equal to the velocity times the time used to finish. So


And the difference between Louisa's time and Calvin' time is 30 minutes, half an hour. So:

Three equations, three unknowns, the system can be solved.
Equalizing the equation with x :

In this last equation replace
with the other equation and solve:
With Louisa's time find x: