She's saving money since there's no negative value
Answer:
x=6
Step-by-step explanation:
5x+9-3x=21
5x-3x=21-9
2x=12
x=6
The answer is 0.5
2.5/5=0.5
Answer:
![x = 0.25](https://tex.z-dn.net/?f=x%20%3D%200.25)
Step-by-step explanation:
Given
![Cost\ Price = 6 + x](https://tex.z-dn.net/?f=Cost%5C%20Price%20%3D%206%20%2B%20x)
![Discount =8\%](https://tex.z-dn.net/?f=Discount%20%3D8%5C%25)
![Amount\ Paid = R6 - x](https://tex.z-dn.net/?f=Amount%5C%20Paid%20%3D%20R6%20-%20x)
Required
Find x
First, we calculate the amount paid in terms of the cost price.
This is calculated using:
![Amount\ Paid = Cost\ Price * (100\% - Discount)](https://tex.z-dn.net/?f=Amount%5C%20Paid%20%3D%20Cost%5C%20Price%20%2A%20%28100%5C%25%20-%20Discount%29)
![Amount\ Paid = (6 + x) * (100\% - 8\%)](https://tex.z-dn.net/?f=Amount%5C%20Paid%20%3D%20%286%20%2B%20x%29%20%2A%20%28100%5C%25%20-%208%5C%25%29)
![Amount\ Paid = (6 + x) * 92\%](https://tex.z-dn.net/?f=Amount%5C%20Paid%20%3D%20%286%20%2B%20x%29%20%2A%2092%5C%25)
Express as decimal
![Amount\ Paid = (6 + x) * 0.92](https://tex.z-dn.net/?f=Amount%5C%20Paid%20%3D%20%286%20%2B%20x%29%20%2A%200.92)
Open bracket
![Amount\ Paid = 5.52 + 0.92x](https://tex.z-dn.net/?f=Amount%5C%20Paid%20%3D%205.52%20%2B%200.92x)
So, we have:
and
---- given
Equate both
![6 - x = 5.52 + 0.92x](https://tex.z-dn.net/?f=6%20-%20x%20%3D%205.52%20%2B%200.92x)
Collect like terms
![- x -0.92x= 5.52-6](https://tex.z-dn.net/?f=-%20x%20-0.92x%3D%205.52-6)
![-1.92x= -0.48](https://tex.z-dn.net/?f=-1.92x%3D%20-0.48)
![1.92x= 0.48](https://tex.z-dn.net/?f=1.92x%3D%200.48)
Solve for x
![x = \frac{0.48}{1.92}](https://tex.z-dn.net/?f=x%20%3D%20%5Cfrac%7B0.48%7D%7B1.92%7D)
![x = 0.25](https://tex.z-dn.net/?f=x%20%3D%200.25)