a software store has put some of its inventory on sale. games are marked down by 15%, and security programs…
a software store has put some of its inventory on sale. games are marked down by 15%, and security programs are marked down by 18%. if you pay $35.70 each for two games and $22.96 for a security program, how much have you saved?\na. $17.64\nb. $14.84\nc. $12.24\nd. $11.34\nplease select the best answer from the choices provided
Answer
Explanation:
Step1: Find original price of one game
Let the original price of a game be $x$. Since it is marked - down by 15%, the selling price is $(1 - 0.15)x=0.85x$. Given $0.85x = 35.70$, then $x=\frac{35.70}{0.85}=42$.
Step2: Calculate savings on two games
The savings on one game is $42 - 35.70 = 6.30$. The savings on two games is $2\times6.30 = 12.60$.
Step3: Find original price of security - program
Let the original price of a security program be $y$. Since it is marked - down by 18%, the selling price is $(1 - 0.18)y = 0.82y$. Given $0.82y=22.96$, then $y=\frac{22.96}{0.82}=28$.
Step4: Calculate savings on security - program
The savings on the security program is $28 - 22.96 = 5.04$.
Step5: Calculate total savings
The total savings is $12.60+5.04 = 17.64$.
Answer:
A. $17.64$