Question
A recent telephone bill totaled $ 120, which included a 5% sales tax and 15% excise tax. What was the basic charge for telephone usage?
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Answer to a math question A recent telephone bill totaled $ 120, which included a 5% sales tax and 15% excise tax. What was the basic charge for telephone usage?
Clarabelle
4.787 Answers
To find the basic charge for telephone usage, we need to subtract the taxes from the total bill.
Let's denote:
x as the basic charge for telephone usage.
Given:
- 5% sales tax
- 15% excise tax
The total bill is $120.
We know that:
- Sales tax = 5% of x
- Excise tax = 15% of x
So, the total bill can be expressed as:
Total bill = x + Sales tax + Excise tax
Given that the total bill is $120:
120 = x + 0.05x + 0.15x
First, let's find the total tax:
Total tax = Sales tax + Excise tax
Total tax = 0.05x + 0.15x = 0.20x
So, we have:
120 = x + 0.20x
120 = 1.20x
Now, divide both sides by 1.20 to solve for x:
x = 120 / 1.20
x = 100
Therefore, the basic charge for telephone usage is $100.
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