SSAT Math Question 302: Answer and Explanation
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Question: 302
6. Ms. Quine bought a rectangular field 300 meters wide and 500 meters long. The cost was $3,000. What was her cost per square meter?
- A. $ 0.02
- B. $ 0.20
- C. $ 0.50
- D. $ 1.60
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: 300 × 500 = 150,000. Divide $3,000 by this area: $0.02.
Rather than using long division to determine how many times $150,000 goes into $3,000, reduce the initial fraction in steps and stages and then estimate. Starting with 
, cancel out the three zeros in the numerator and three of the zeros in the denominator: 
. Now cancel out the threes in the numerator and denominator: 
= 0.02.