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? a. $17.64 b. $14.84 c. $12.24 d. $11.34

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? a. $17.64 b. $14.84 c. $12.24 d. $11.34

Answer

Answer:

B. $14.84

Explanation:

Step1: Find original price of one game

Let original price of one game be $x$. Since it's marked - down by 15%, the selling price is $(1 - 0.15)x=0.85x$. Given selling price of one game is $35.70$, so $0.85x = 35.70$, then $x=\frac{35.70}{0.85}=42$.

Step2: Calculate savings on two games

Savings on one game is $42 - 35.70 = 6.30$. Savings on two games is $2\times6.30 = 12.60$.

Step3: Find original price of security - program

Let original price of security program be $y$. Since it's marked - down by 18%, the selling price is $(1 - 0.18)y = 0.82y$. Given selling price is $22.96$, so $0.82y=22.96$, then $y=\frac{22.96}{0.82}=28$.

Step4: Calculate savings on security - program

Savings on security program is $28 - 22.96 = 5.04$.

Step5: Calculate total savings

Total savings is $12.60+5.04 = 14.84$.