6 erasers cost $6.60. Which equation would help determine the cost of 3 erasers? Choose 1 answer: (A) (3)/(x)=($6.60)/(6) (B) (3)/(6)=($6.60)/(x) (C) (x)/(3)=(6)/($6.60) (D) (x)/(3)=($6.60)/(6) (ㄷ) None of the above

Question

6 erasers cost  $6.60. Which equation would help determine the cost of 3 erasers? Choose 1 answer: (A)  (3)/(x)=($6.60)/(6) (B)  (3)/(6)=($6.60)/(x) (C)  (x)/(3)=(6)/($6.60) (D)  (x)/(3)=($6.60)/(6) (ㄷ) None of the above

Bytelearn · Accepted Answer

Understand the problem: Understand the problem. We need to find an equation that relates the cost of 3 erasers to the given cost of 6 erasers, which is $6.60.Set up a proportion: Set up a proportion. Since we know the cost of 6 erasers, we can set up a proportion where the number of erasers is directly proportional to the cost. The equation should compare the cost of 3 erasers (which we'll call x) to the cost of 6 erasers ($6.60).Analyze the options: Analyze the options. Option (A) suggests that the ratio of 3 erasers to some cost x is equal to the ratio of $6.60 to 6 erasers. This is not correct because it implies that x is the cost of 6 erasers, not 3.Analyze the next option: Analyze the next option. Option (B) suggests that the ratio of 3 erasers to 6 erasers is equal to the ratio of $6.60 to some cost x. This is the correct setup for the proportion we want because it compares the number of erasers directly to the cost.Check the remaining options: Check the remaining options. Option (C) is incorrect because it suggests that the ratio of some cost x to 3 erasers is equal to the ratio of 6 erasers to $6.60, which does not make sense in this context. Option (D) is incorrect because it suggests that the ratio of some cost x to 3 erasers is equal to the ratio of $6.60 to 6 erasers, which again implies that x is the cost of 6 erasers, not 3. Option (ㄷ) is not needed since we have found the correct option in (B).

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