Slove the following equation for x
1 answer:
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Answer:
Admission fee charged = $3
Cost of each ride = $10
Step-by-step explanation:
Let admission fee charged by amusement park in dollars be =
Let cost of each ride in dollars be =
Given:
Admission plus four rides cost $22
If each ride cost in dollars =
Cost of 4 rides in dollars will be =
So, the total cost in dollars will be given as =
So, we have
Admission plus seven ride cost $31.
If each ride cost in dollars =
Cost of 7 rides in dollars will be =
So, the total cost in dollars will be given as =
So, we have
So, we have the system of equation as:
A)
B)
Solving the system by elimination method.
Eliminating by subtracting equation A from B.
-
- - - [Sign of each term of subtract-ant gets reversed]
-----------------------------
Dividing both sides by 3.
∴
Plugging in in equation A.
Subtracting both sides by 12.
∴
Thus, admission fee charged = $3
Cost of each ride = $10