Answer:
0.85X dollars.
Step-by-step explanation:
Let X dollars be the cost of furniture.
We have been given that a furniture stores having a weekend sale and is offering 20% discount on patio chairs and table.
This means the price of furniture after 20% discount will be X-20% of X.
[tex]\text{Price of furniture after discount}=X-(\frac{20}{100}*X)[/tex]
[tex]\text{Price of furniture after discount}=X-0.20X)[/tex]
[tex]\text{Price of furniture after discount}=0.80X[/tex]
We are also told that the sales tax on furniture is 6.25%. Since sales tax is added after discount, so price of furniture after sales tax will be:
[tex]\text{Price of furniture after sales tax}=0.80X+(\frac{6.25}{100}*0.80X)[/tex]
[tex]\text{Price of furniture after sales tax}=0.80X+(0.0625*0.80X)[/tex]
[tex]\text{Price of furniture after sales tax}=0.80X+0.05X[/tex]
[tex]\text{Price of furniture after sales tax}=0.85X[/tex]
Therefore, we need to pay 0.85X dollars for the furniture.