How many of the given states have a total area (in hectare) per ton of Mate production > 100 and a population of at least 13 million?
Explanation:
Here we need to calculate Total AreaMate Production for states with population ≥ 13 million.
Let us start with Hawaii
Total AreaMate Production = 48×10,0003.5×1000 = 483.5 × 10 Here, the factor of 10 will remain the same for all states upon simplification. We just need to change the corresponding values of 48 and 3.5 for other states. Yield for Hawaii = 48/3.5 × 10 = 480/3.5 > 100 [∵ 480 > 3.5 × 100]
Yield for Florida = 90/7.2 × 10 = 900/7.2 > 100 [∵ 900 > 7.2 × 100]
Yield for Arizona = 31/6.4 × 10 = 310/6.4 < 100 [∵ 310 < 6.4 × 100] Yield for Idaho = 33/8 × 10 = 330/8 < 100 [∵ 330 < 8 × 100]
Yield for Kentucky = 160/11.1 × 10 = 1600/11.1 > 100 [∵ 1600 > 11.1 × 100]
Yield for Maryland = 19/1.9 × 10 = 190/1.9 = 100 [∵ 190 = 1.9 × 100] ∴ There are 3 states for whom the ratio is > 100.
Hence, option (d).
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