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I did not quite understand the solution. Explanation not clear! where does it mention private spending was 4.7 billions usd and made 25%. unclear on all 3 statements please help!
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I did not quite understand the solution. Explanation not clear! where does it mention private spending was 4.7 billions usd and made 25%. unclear on all 3 statements please help!
It's all in the prompt just before the question:

Quote:
"Private spending on substance abuse treatment — across all three private payer categories — grew only from $4.6 billion in 1986 to $4.7 billion in 2003."

That $4.7 billion is the private spending in 2003. From Tab 2, private spending accounted for about 25% of total spending in 2003.

So if $4.7B is 25%, total spending was around $18.8B, which helps evaluate Statements 1 and 2.

Statement 3 is about Medicare. Its share stayed constant, but since total spending increased, actual Medicare dollars also increased — so "unchanged" is incorrect.

It's all there. You just need to piece it together step by step. Take a moment to go through the details carefully and it will make sense.
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I don’t quite agree with the solution. Generally I agree with the reasoning for question 1, but private spending grew (though only little) and according to the graph its share of overall spending dropped from 50% to 22%, maybe 23%. This would leave us with a change of total spending from approx. 9.2 billion USD to approx. 20.4 billion USD, an increase of 120%. This is clearly not doubling, not even approximately.
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I don’t quite agree with the solution. Generally I agree with the reasoning for question 1, but private spending grew (though only little) and according to the graph its share of overall spending dropped from 50% to 22%, maybe 23%. This would leave us with a change of total spending from approx. 9.2 billion USD to approx. 20.4 billion USD, an increase of 120%. This is clearly not doubling, not even approximately.

Thank you for your comment. I’ve edited the question to remove this confusion.
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Hi,
Could you further elaborate on the 1 and 3 statement? I didnt understand the given solution.
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Hi,
Could you further elaborate on the 1 and 3 statement? I didnt understand the given solution.

Sure, here’s a clearer breakdown of Statements 1 and 3:

Statement 1 (Overall spending more than doubled):
  • Private spending was about $4.6 billion in 1986 and $4.7 billion in 2003 (basically flat).
  • But in 1986, private spending made up about 50% of the total, while in 2003 it was only about 22%.
  • If the same $4.7 billion is now only 22% of the total, then the total must be around $21 billion in 2003 versus about $9 billion in 1986.
  • That’s more than double, so Statement 1 is correct.

Statement 3 (Medicare spending unchanged):

  • Medicare’s share stayed about the same between 1986 and 2003.
  • But because the total amount of spending more than doubled, Medicare’s absolute dollars also more than doubled.
  • So saying Medicare spending “remained unchanged” is wrong. The share is unchanged, but the dollar amount increased.

Hope it's clear.
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I did not quite understand the solution. Medicare’s share stayed about the same from 1986 to 2003

From where did we get this information? I see that public medicare percentage increased from 1986 to 2003. But, How do we know overall medicare proportion which would include both public and provate spendings?
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nbharti
I did not quite understand the solution. Medicare’s share stayed about the same from 1986 to 2003

From where did we get this information? I see that public medicare percentage increased from 1986 to 2003. But, How do we know overall medicare proportion which would include both public and provate spendings?

I think you are misinterpreting the chart, and mixing Medicare with Medicaid.



Medicare is only public. The chart’s “Public Medicare” bar shows its share, and that slice barely changes between 1986 and 2003. That’s why the solution says its share stayed about the same. Since total spending more than doubled, Medicare’s dollar spending also rose, even though its share didn’t.
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