1,500 ÷ (15 + 5) =

Rationale

A) 75 is the correct answer.

By following the order of operations, which is parentheses, exponents, multiplication and division (from left to right), addition and subtraction (from left to right) (PEMDAS), the calculation should be done as follows: First, add the numbers in the parentheses (15 + 5 = 20). Then, divide 1,500 by 20, which results in 75.

A (75) CORRECT

This is the correct answer. After adding the numbers within the parentheses (15 + 5 = 20) and then dividing 1,500 by this sum, the result is 75.

B (130) YOUR ANSWER

This answer would be the result if you first divided 1,500 by 15, and then added 5. However, this does not follow the order of operations (PEMDAS), which states that addition within parentheses should be performed before division.

C (315) YOUR ANSWER

This answer might be reached if you first divided 1,500 by 15 and then multiplied the result by 5. However, this does not follow the order of operations (PEMDAS), which clearly states that operations inside parentheses should be performed before division.

D (400) YOUR ANSWER

This answer might result from incorrectly dividing 1,500 by the sum of 15 and 5 without first adding the numbers in the parentheses, which is not in accordance with the order of operations (PEMDAS).

Conclusion

The correct answer is A) 75, which is obtained by first adding the numbers within the parentheses (15 + 5) to get 20, and then dividing 1,500 by this sum. Answers B) 130, C) 315, and D) 400 are incorrect because they do not follow the order of operations (PEMDAS). To correctly solve this problem, you must perform operations in the following order: parentheses, exponents, multiplication and division (from left to right), addition and subtraction (from left to right).

1,500 ÷ (15 + 5) =

A) 75 is the correct answer.

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