Question

WORTH 50 POINTS!!

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)

A. 0.82B
B. 1.18B
C. B - 0.18
D. B - 18
E. B - 0.18B

Answer 1

0.18B is neither of these.

B-0.18 is neither of these.

0.82B is calculate the percent he pays, then convert it to a decimal and multiply to get the final price.

B-0.18B is calculate the dollar amount of discount and subtract it from the original.

Step-by-step explanation:

0.18B will tell you what 18% of the price, B, is, but does not tell you anything else.

B-0.18 will take the price, B, and subtract $0.18 from it. It does not find a percentage.

0.82B is the same as taking 82% of B. We would do this because 100% of the price - 18% discount = 82%; 82% = 82/100 = 0.82.

B-0.18B takes the price, B, and subtracts 18% of B. 18%=18/100 = 0.18, so 0.18B is 18% of B.

Answer 2

Answers: Choice A and Choice E

0.82B and B-0.18B

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Step-by-step explanation:

B is the cost of the game (some unknown amount). Subtract off 0.18B to indicate a 18% reduction in the price. That's how we get choice E.

Simplifying choice E leads us to choice A. Notice that 1 - 0.18 = 0.82; which represents 100% - 18% = 82%. After the discount, Bo is paying 82% of the original price.

Side note: Choice B indicates an 18% increase. Choices C and D don't represent percentage decreases (rather they're decreasing by a fixed amount regardless of what B is).