Question 232233
According to the U.S. Census Bureau, the two most popular female names in the United States are Mary and Patricia. Combined, these two names account for 3.7% of all female first names. The difference between the percentage of women named Mary and the percentage of women named Patricia are 1.5%. What percentage of all female first names in the United States are Mary and what percentage are Patricia? 
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Let M be % of Marys ;Let P be % of Patricias
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Equation:
M+P = 0.037
M-P = 0.015
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Add to solve for "M"
2M = 0.052
M = 0.026 or 2.6% (% of Marys in the population)
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Since M+P = 0.037, 0.026+P = 0.037
P = 1.1% (% of Patricias in the population)
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Cheers,
Stan H.