A residential building contractor borrowed $39,000 to complete a new home. Some of the money was borrowed at 5%, some at 4%, and some at 6%. How much was borrowed at each rate if the annual interest owed was $1800 and the amount borrowed at 4% is four times more than the amount borrowed at 6%? A. $12,000 at 5%; $22,000 at 4%; $5000 at 6% B. $14,000 at 5%; $20,000 at 4%; $5000 at 6% C. $12,000 at 5%; $21,000 at 4%; $6000 at 6% D. $13,000 at 5%; $18,000 at 4%; $7000 at 6% E. $11,000 at 5%; $24,000 at 4%; $6000 at 6%

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A residential building contractor borrowed $39,000 to complete a new home. Some of the money was borrowed at 5%, some at 4%, and some at 6%. How much was borrowed at each rate if the annual interest owed was $1800 and the amount borrowed at 4% is four times more than the amount borrowed at 6%? A. $12,000 at 5%; $22,000 at 4%; $5000 at 6% B. $14,000 at 5%; $20,000 at 4%; $5000 at 6% C. $12,000 at 5%; $21,000 at 4%; $6000 at 6% D. $13,000 at 5%; $18,000 at 4%; $7000 at 6% E. $11,000 at 5%; $24,000 at 4%; $6000 at 6%

Mathematics
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Any ideas on how you want to attempt this problem? There are many many ways.
Whatever way is easiest....
I figured setting up a formula and then plugging in the different answers till I find the right one.. so in that case I guess I'm not sure what my equation/formula would be?

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Ok, well let's look at this.
The easiest method by far in multiple choice questions is elimination.
Four percent of $39,000 is?
$1560
Oh sorry, I didn't not read the question carefully enough.
Let's do some elimination: can you tell me which letters do not fit this qualifier? " the amount borrowed at 4% is four times more than the amount borrowed at 6%"
uhm... I'm not sure I understand your question....
Oh, no problem. Let's look at this: $12,000 at 5%; $22,000 at 4%; $5000 at 6% For this answer, is the 4% value 4x the amount of the 6% value?
no it's 500 short
Exactly, so right away A is wrong. Can you tell me which other answers are wrong immediately?
Ohhh ok so I could use this to test my given answers to find the right one! ding dong my light bulb just went on wow I feel dumb. lol
Haha, no worries. So which ones are wrong?
Just from that simple test, which ones are wrong?
ok so my final answers are between b and e
Correct! Good! A, C, and D are all wrong. The 4% values are not 4 times greater than their 6% values. We've eliminated over half the choices!
awesome possum...Now where do I go from there knowing that I have 2 choices of answers
Haha, now we get to look at this: "borrowed $39,000 to complete a new home."
Can you add the loan values in B and E and tell me if they add up to 39,000?
just kidding the answer is b
sorry Idk why that problem was so hard to wrap my brains around lol thanks for helping me though
Haha, yes! And look, we didn't have to do any hard math at all! You got very lucky xD
Anytime, it's no problem. Would you like to do the math?
This was more test taking strategy.
ha ha true well all the other questions I was working on were hard and I got to this one and was like ok back to basics.. uh oh lol
lol, it happens
It's ok i have it down on my practice paper thanks though!
Happy to help!

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