Mixing
Financial Word Problem Setup.
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A person spends one-third of his income, saves one-fourth, and pays away $5$ percent on the whole as interest at $7frac12$ percent on debts previously incurred, and then has $110$ pounds remaining: What was the amount of his debts?
I don't quite understand some of the wording in this problem:
- ...saves one-fourth...
Saves one-fourth of his whole income or just the $frac23$ he has left?
I'm not quite certain.
- ..., and pays away 5 percent on the whole as $7frac12$ percent on debts previously incurred, ...
So he just pays $7frac12$ percent on the 5 percent of the whole or he pays $7frac12$ percent on the 5 percent of the whole plus everything else that he had payed before that.
I'm not very good at word problems, so bear with me. Ask me any questions regarding my confusion or the problem. As a side note, the answer to this problem is apparently 200 pounds (which I'm still unable to obtain).
Thanks.
algebra-precalculus word-problem
edited Jul 18 at 2:53
Key Flex
4,346425
asked Jul 17 at 23:14
A Silent Cat
1227
add a comment |Â
up vote
0
down vote
favorite
A person spends one-third of his income, saves one-fourth, and pays away $5$ percent on the whole as interest at $7frac12$ percent on debts previously incurred, and then has $110$ pounds remaining: What was the amount of his debts?
I don't quite understand some of the wording in this problem:
- ...saves one-fourth...
Saves one-fourth of his whole income or just the $frac23$ he has left?
I'm not quite certain.
- ..., and pays away 5 percent on the whole as $7frac12$ percent on debts previously incurred, ...
So he just pays $7frac12$ percent on the 5 percent of the whole or he pays $7frac12$ percent on the 5 percent of the whole plus everything else that he had payed before that.
I'm not very good at word problems, so bear with me. Ask me any questions regarding my confusion or the problem. As a side note, the answer to this problem is apparently 200 pounds (which I'm still unable to obtain).
Thanks.
algebra-precalculus word-problem
edited Jul 18 at 2:53
Key Flex
4,346425
asked Jul 17 at 23:14
A Silent Cat
1227
add a comment |Â
up vote
0
down vote
favorite
up vote
0
down vote
favorite
A person spends one-third of his income, saves one-fourth, and pays away $5$ percent on the whole as interest at $7frac12$ percent on debts previously incurred, and then has $110$ pounds remaining: What was the amount of his debts?
I don't quite understand some of the wording in this problem:
- ...saves one-fourth...
Saves one-fourth of his whole income or just the $frac23$ he has left?
I'm not quite certain.
- ..., and pays away 5 percent on the whole as $7frac12$ percent on debts previously incurred, ...
So he just pays $7frac12$ percent on the 5 percent of the whole or he pays $7frac12$ percent on the 5 percent of the whole plus everything else that he had payed before that.
I'm not very good at word problems, so bear with me. Ask me any questions regarding my confusion or the problem. As a side note, the answer to this problem is apparently 200 pounds (which I'm still unable to obtain).
Thanks.
algebra-precalculus word-problem
edited Jul 18 at 2:53
Key Flex
4,346425
asked Jul 17 at 23:14
A Silent Cat
1227
A person spends one-third of his income, saves one-fourth, and pays away $5$ percent on the whole as interest at $7frac12$ percent on debts previously incurred, and then has $110$ pounds remaining: What was the amount of his debts?
I don't quite understand some of the wording in this problem:
- ...saves one-fourth...
Saves one-fourth of his whole income or just the $frac23$ he has left?
I'm not quite certain.
- ..., and pays away 5 percent on the whole as $7frac12$ percent on debts previously incurred, ...
So he just pays $7frac12$ percent on the 5 percent of the whole or he pays $7frac12$ percent on the 5 percent of the whole plus everything else that he had payed before that.
I'm not very good at word problems, so bear with me. Ask me any questions regarding my confusion or the problem. As a side note, the answer to this problem is apparently 200 pounds (which I'm still unable to obtain).
Thanks.
algebra-precalculus word-problem
edited Jul 18 at 2:53
Key Flex
4,346425
asked Jul 17 at 23:14
A Silent Cat
1227
edited Jul 18 at 2:53
Key Flex
4,346425
edited Jul 18 at 2:53
Key Flex
4,346425
edited Jul 18 at 2:53
Key Flex
4,346425
4,346425
asked Jul 17 at 23:14
A Silent Cat
1227
asked Jul 17 at 23:14
A Silent Cat
1227
asked Jul 17 at 23:14
A Silent Cat
1227
1227
add a comment |Â
add a comment |Â
2 Answers
2
active
oldest
votes
up vote
1
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accepted
Suppose the income is $$x$.
The word ‘on the whole’ indicates that he spent $frac x3$, $frac x4$, and $0.05x$.
Let the debt be $$d$. Then $$0.05x=0.075d$$
He also has $$x=frac x3 +frac x4 +0.05x +110$$
The rest should be fine.
answered Jul 17 at 23:58
Karn Watcharasupat
3,8192426
add a comment |Â
up vote
0
down vote
Let total income be $x$. The person spends $x/3$, saves $x/4$, and payes $0.05x$ in interest, which means he has $x - x/3 - x/4 - 0.05x$ left. You should be able to get to the answer from here.
answered Jul 17 at 23:56
Confounded
1338
add a comment |Â
2 Answers
2
active
oldest
votes
2 Answers
2
active
oldest
votes
active
oldest
votes
active
oldest
votes
up vote
1
down vote
accepted
Suppose the income is $$x$.
The word ‘on the whole’ indicates that he spent $frac x3$, $frac x4$, and $0.05x$.
Let the debt be $$d$. Then $$0.05x=0.075d$$
He also has $$x=frac x3 +frac x4 +0.05x +110$$
The rest should be fine.
answered Jul 17 at 23:58
Karn Watcharasupat
3,8192426
add a comment |Â
up vote
1
down vote
accepted
Suppose the income is $$x$.
The word ‘on the whole’ indicates that he spent $frac x3$, $frac x4$, and $0.05x$.
Let the debt be $$d$. Then $$0.05x=0.075d$$
He also has $$x=frac x3 +frac x4 +0.05x +110$$
The rest should be fine.
answered Jul 17 at 23:58
Karn Watcharasupat
3,8192426
add a comment |Â
up vote
1
down vote
accepted
up vote
1
down vote
accepted
Suppose the income is $$x$.
The word ‘on the whole’ indicates that he spent $frac x3$, $frac x4$, and $0.05x$.
Let the debt be $$d$. Then $$0.05x=0.075d$$
He also has $$x=frac x3 +frac x4 +0.05x +110$$
The rest should be fine.
answered Jul 17 at 23:58
Karn Watcharasupat
3,8192426
Suppose the income is $$x$.
The word ‘on the whole’ indicates that he spent $frac x3$, $frac x4$, and $0.05x$.
Let the debt be $$d$. Then $$0.05x=0.075d$$
He also has $$x=frac x3 +frac x4 +0.05x +110$$
The rest should be fine.
answered Jul 17 at 23:58
Karn Watcharasupat
3,8192426
answered Jul 17 at 23:58
Karn Watcharasupat
3,8192426
answered Jul 17 at 23:58
Karn Watcharasupat
3,8192426
answered Jul 17 at 23:58
Karn Watcharasupat
3,8192426
3,8192426
add a comment |Â
add a comment |Â
up vote
0
down vote
Let total income be $x$. The person spends $x/3$, saves $x/4$, and payes $0.05x$ in interest, which means he has $x - x/3 - x/4 - 0.05x$ left. You should be able to get to the answer from here.
answered Jul 17 at 23:56
Confounded
1338
add a comment |Â
up vote
0
down vote
Let total income be $x$. The person spends $x/3$, saves $x/4$, and payes $0.05x$ in interest, which means he has $x - x/3 - x/4 - 0.05x$ left. You should be able to get to the answer from here.
answered Jul 17 at 23:56
Confounded
1338
add a comment |Â
up vote
0
down vote
up vote
0
down vote
Let total income be $x$. The person spends $x/3$, saves $x/4$, and payes $0.05x$ in interest, which means he has $x - x/3 - x/4 - 0.05x$ left. You should be able to get to the answer from here.
answered Jul 17 at 23:56
Confounded
1338
Let total income be $x$. The person spends $x/3$, saves $x/4$, and payes $0.05x$ in interest, which means he has $x - x/3 - x/4 - 0.05x$ left. You should be able to get to the answer from here.
answered Jul 17 at 23:56
Confounded
1338
answered Jul 17 at 23:56
Confounded
1338
answered Jul 17 at 23:56
Confounded
1338
answered Jul 17 at 23:56
Confounded
1338
1338
add a comment |Â
add a comment |Â
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