SSAT Math Question 300: Answer and Explanation

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Question: 300

4. Mr. Riccio pays $40,000 a month for space in an office building. His office space covers a floor area that is 1,500 feet wide and 1,100 feet long. What is his approximate rental cost per square foot per month?

  • A. 2.4￠
  • B. 24￠
  • C. $2.40
  • D. $24.00

Correct Answer: A

Explanation:

The answer is A

Per means divide, so divide the cost by the area in square feet. The cost is given. Find the area by multiplying length by width: 1,500 × 1,100 = 1,650,000. Divide $40,000 by this area: $0.024, which is 2.4￠.

Rather than using long division to determine how many times $1,650,000 goes into $40,000, reduce the initial fraction in steps and stages and then estimate. Starting with , cancel out all the zeros, as there are four in the numerator and four in the denominator: . Now multiply 15 by 11: . As is four cents, the bigger denominator indicates that the cost will be less than four cents

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