Constance wants to purchase an school jacket. She saw the same jacket at a few stores. Store A had the jacket for 15% off the original price of $59.60. Store B has it on sale for $50.99. Determine which is the better buy? What is the total price after 6% sales tax at this store?

Respuesta :

Answer:

Store A is better buy.

$53.70

Step-by-step explanation:

We have been given that Constance wants to purchase an school jacket. Store A had the jacket for 15% off the original price of $59.60.

Let us find price offered by store A by finding 85% of $59.60 as because 100% minus 15% is equal o 85%.

[tex]\text{Price offered by store A}=\frac{85}{100}\times \$59.60[/tex]

[tex]\text{Price offered by store A}=0.85\times \$59.60[/tex]

[tex]\text{Price offered by store A}=\$50.66[/tex]

Store B has the same jacket at a price of $50.99 and price of jacket at store A after discount is $50.66, therefore, store A is a better buy.

Let us find total price of jacket after adding 6% of $50.66 to $50.66 as:

[tex]\text{Total price of jacket}=\$50.66+\$50.66\times \frac{6}{100}[/tex]

[tex]\text{Total price of jacket}=\$50.66+\$50.66\times0.06[/tex]

[tex]\text{Total price of jacket}=\$50.66+\$3.0396[/tex]

[tex]\text{Total price of jacket}=\$53.6996[/tex]

[tex]\text{Total price of jacket}\approx \$53.70[/tex]

Therefore, the total price of jacket after 6% sales tax would be $53.70.