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Jackson invested $300,000, dividing it all unequally between Account P
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14 Feb 2022, 10:10
14 Feb 2022, 10:10
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Jackson invested $300,000, dividing it all unequally between Account P and Account Q. At the end of the year, it turned out that Account P had earned 12% interest and Account Q had earned 25% interest. If Jackson earned a total of $60,000 in interest between the two accounts, which of the following is approximately the amount he put in account P?
A. $115,384
B. $120,000
C. $121,072
D. $124,129
E. $130,000
A. $115,384
B. $120,000
C. $121,072
D. $124,129
E. $130,000
Re: Jackson invested $300,000, dividing it all unequally between Account P
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14 Feb 2022, 10:24
14 Feb 2022, 10:24
1
Carcass wrote:
Jackson invested $300,000, dividing it all unequally between Account P and Account Q. At the end of the year, it turned out that Account P had earned 12% interest and Account Q had earned 25% interest. If Jackson earned a total of $60,000 in interest between the two accounts, which of the following is approximately the amount he put in account P?
A. $115,384
B. $120,000
C. $121,072
D. $124,129
E. $130,000
A. $115,384
B. $120,000
C. $121,072
D. $124,129
E. $130,000
Panicked as runout of time and select wrong ans, do we have a on screen calculator would have been handy bb Carcass. Do you know where I can find one
Amount to P = x
Amount to Q = 300,000 -x
SI on P + SI on Q = 60,000
SI = PRT: Principal * Rate * Time
0.12x + 0.25(300,000 -x) = 60k
0.12x + 75k -0.25x = 60k
15k=0.13x
x= 15k/0.13 = 115,384
So ans is A
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Re: Jackson invested $300,000, dividing it all unequally between Account P
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14 Feb 2022, 10:31
14 Feb 2022, 10:31
Carcass wrote:
Jackson invested $300,000, dividing it all unequally between Account P and Account Q. At the end of the year, it turned out that Account P had earned 12% interest and Account Q had earned 25% interest. If Jackson earned a total of $60,000 in interest between the two accounts, which of the following is approximately the amount he put in account P?
A. $115,384
B. $120,000
C. $121,072
D. $124,129
E. $130,000
A. $115,384
B. $120,000
C. $121,072
D. $124,129
E. $130,000
We can solve the question using 1 variable or 2 variables. Let's use 1.
Let x = the money (in dollars) placed in Account P
So, $300,000 - x = the money placed in Account Q
Account P earned 12% interest and Account Q earned 25% interest, and Jackson earned a total of $60,000 in interest between the two accounts
We can write: (12% of x) + (25% of 300,000 - x) = 60,000
In other words: 0.12x + 0.25(300,000 - x) = 60,000
Expand: 0.12x + 75,000 - 0.25x = 60,000
Simplify: -0.13x + 75,000 = 60,000
Subtract 75,000 from both sides: -0.13x = -15000
Solve: x = 15,000/0.13 ≈ 115,000
Answer: A
