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Bo is buying a board game that usually costs 
B dollars. The game is on sale, and the price has been reduced by 
18%.
Which of the following expressions could represent how much Bo pays for the game?
Choose 
2 answers:

0.82 B

1.18 B

B-0.18

B-18

B-0.18 B

Bo is buying a board game that usually costs B B dollars. The game is on sale, and the price has been reduced by 18% 18 \% .\newlineWhich of the following expressions could represent how much Bo pays for the game?\newlineChoose 22 answers:\newline0.82B 0.82 B \newline1.18B 1.18 B \newlineB0.18 B-0.18 \newlineB18 B-18 \newlineB0.18B B-0.18 B

Full solution

Q. Bo is buying a board game that usually costs B B dollars. The game is on sale, and the price has been reduced by 18% 18 \% .\newlineWhich of the following expressions could represent how much Bo pays for the game?\newlineChoose 22 answers:\newline0.82B 0.82 B \newline1.18B 1.18 B \newlineB0.18 B-0.18 \newlineB18 B-18 \newlineB0.18B B-0.18 B
  1. Calculate Discounted Price: Bo's board game originally costs BB dollars. An 18%18\% discount means Bo will pay 18%18\% less than the original price. To calculate the discounted price, we subtract 18%18\% of BB from BB.\newlineDiscounted price = Original price - Discount\newlineDiscount = Original price ×\times Discount rate\newlineDiscount = B×0.18B \times 0.18\newlineDiscounted price = B(B×0.18)B - (B \times 0.18)
  2. Simplify Expression: Now we simplify the expression for the discounted price.\newlineDiscounted price = B0.18BB - 0.18B\newlineThis simplifies to:\newlineDiscounted price = B(10.18)B(1 - 0.18)\newlineDiscounted price = B(0.82)B(0.82)\newlineSo, one expression that represents the discounted price is 0.82B0.82B.
  3. Evaluate Other Options: The other options need to be evaluated to see if they also represent the discounted price. The expression B0.18B - 0.18 does not make sense because 0.180.18 is not a percentage of BB, it's a fixed amount. Therefore, this cannot represent an 18%18\% discount on a variable price BB.
  4. Incorrect Expressions: The expression B18B - 18 also does not make sense for the same reason as the previous step; it subtracts a fixed amount rather than a percentage of BB.
  5. Higher Price Expression: The expression 1.18B1.18B would represent a price that is 18%18\% higher than the original price, not 18%18\% lower. Therefore, this expression does not represent the discounted price.
  6. Final Expression: The last expression to consider is B0.18BB - 0.18B. This is the same as the expression we derived in the second step, which simplifies to 0.82B0.82B. Therefore, this expression does represent the discounted price.

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