PSAT Math Grid-Ins Question 73: Answer and Explanation
Question: 73
An artist is creating a rectangular tile mosaic. Her desired pattern uses 5 green tiles and 3 blue tiles per square foot of mosaic. If the artist's entire mosaic is 12 feet by 18 feet, how many more green tiles than blue tiles will she need?
Correct Answer: 432
Explanation:
432
Difficulty: Medium
Getting to the Answer: Determine the number of times the pattern repeats and then find the corresponding number of green tiles. The question states that the ratio of green to blue tiles is 5:3 and that the pattern appears once per square foot. There are 12 × 18 = 216 square feet in the mosaic, meaning there are 5 × 216 = 1,080 green tiles and 3 × 216 = 648 blue tiles. Taking the difference gives 1,080 - 648 = 432 more green tiles than blue. Grid in 432.
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