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OE:
A. First, Locate the two corresponding lines in the table. For each line calculate:
Total Income = (Medical Dollars)(Proportion of Income spent on Medical Expenses)
Number of persons = (Total Income)/(Average Income)
There are ($40,483,535/6%)/$56,321 = 11980 insured females of age 51-70 and ($99,442,075/19%)/$44,676 = 11,715 uninsured females of age 31-50.
The correct answer is True.

B. Uninsured Females (age 31-50) spent the most medical dollars in 2010, but Uninsured Males (age51-70) spent the highest proportion of their income on medical expenses.
The correct answer in False.

C. Sort the table by sex and then add Medical Dollars for each group under consideration. To make it easier, round Medical Dollars to a million before adding. Men younger than 51 spent about 84+71+66 = $294 million. Men 51+ spent about %176 million.
The correct answer is True.
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A. There are more insured females aged 51-70 than uninsured females aged 31-50 among the patients.

Let the No. of insured females aged 51-70: x
Average medical spending = $40,483,535
Average Income = $56321.
% of income spent on medical = 6%.

=> Total income spend on medical = 40,483,535 = x*56321*0.06
=> x = ~ 11980.

Now, Let the No. of uninsured females aged 31-50: y
Average medical spending = $99,442,075
Average Income = $44676.
% of income spent on medical = 1%.

=> Total income spend on medical = 99,442,075 = y*44,676*0.19
=> y = ~ 11715.

=> Yes, There are more insured females aged 51-70 than uninsured females aged 31-50 among the patients.

Answer True.


B. The group that spent the most on medical expenses also spent the highest proportion of their income on medical expenses.

We can infer the below details from the table:
The group that spent the most on medical expenses = Uninsured females aged 31-50.
The group that spent the highest proportion of their income on medical expenses = 30% by uninsured males aged 51-70.

So Answer is False.


C. The men younger than 51 spent more money on medical expenses than the men aged 51 and older.

Money spent by men younger than 51 = 72,802,800+66,074,077 + 71,295,080 + 83,805,468. = ~292 (added the first 2 digits only for approxmiation)
Money spent by men older than 51 = 95990064 + 10,724,784 + 57,133,444 + 11,727,226 = ~173.

So, Yes, The men younger than 51 spent more money on medical expenses than the men aged 51 and older.

Answer True.
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Hello from the GMAT Club BumpBot!

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