Absolutely! Let's tackle these two questions one at a time and break down the steps in detail.
### Question 8: Finding the cost when the house was built
We know the following:
- The cost of the house today is [tex]$333,200.
- The house costs 36% more today than when it was built.
We need to find out the price of the house when it was originally built.
Let \( C \) be the cost of the house when it was built. The current cost of the house is then given by adding 36% of the original cost to the original cost, which can be mathematically represented as:
\[ 333,200 = C + 0.36C \]
Simplifying, we have:
\[ 333,200 = 1.36C \]
To find \( C \), we divide both sides of the equation by 1.36:
\[ C = \frac{333,200}{1.36} \]
Performing the division, we get:
\[ C \approx 245,000 \]
So, the cost of the house when it was built was approximately $[/tex]245,000.
### Question 9: Finding the original bill before a 10% deduction
We know the following:
- After a 10% deduction, [tex]$58.50 remains to be paid.
We need to find out the original bill before the deduction.
Let \( B \) be the original bill. A 10% deduction means that the remaining amount is 90% (or 0.90) of the original bill. This can be mathematically represented as:
\[ 0.90B = 58.50 \]
To find \( B \), we divide both sides of the equation by 0.90:
\[ B = \frac{58.50}{0.90} \]
Performing the division, we get:
\[ B = 65 \]
So, the original bill before the deduction was $[/tex]65.
### Summary:
1. The cost of the house when it was built was approximately [tex]$245,000.
2. The original bill before the 10% deduction was $[/tex]65.
