forming an equation
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A worker spends two-thirds of his salary for board, half of the remainder for clothing and saves $2000 per year. How much is his salary?
no matter how i explain my bro doesn't understand
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The procedure is standard.
1) Define the unknown
2) Translate the info
3) Determine relationship between info
4) Solve
In your case,
1) Let the annual salary be $(x)
2) Translation
2/3 of salary = 2x/3
Remainder = x - (2x/3) = x/3
1/2 of remainder =(1/2)(x/3) = (x/6)
Saving per year = 2000
3) Total = Board + clothing + saving
x = 2x/3 + x/6 + 2000
x/6 = 2000
x = 12000
4) His annual salary is $12000
In other word, make your bro go thru the sequence of (1)/(2)/(3)/(4).
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Originally posted by xunmeng:
A worker spends two-thirds of his salary for board, half of the remainder for clothing and saves $2000 per year. How much is his salary?
no matter how i explain my bro doesn't understand
If the main problem is that your younger bro is unable to take it in, then draw it out for him to see using model diagrams.
You will have to draw six boxes, show him that four boxes ( 2/3 ) was spent for board, one box ( half of remainder ) was spent on clothing, and the last box ( amount left ) is the $2000 that was saved up.
Next, ask him to calculate the total amount of boxes, and ask him to multiply that by the value of one box, so as to find the salary of the worker.
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Originally posted by Mikethm:
The procedure is standard.
1) Define the unknown
2) Translate the info
3) Determine relationship between info
4) Solve
In your case,
1) Let the annual salary be $(x)
2) Translation
2/3 of salary = 2x/3
Remainder = x - (2x/3) = x/3
1/2 of remainder =(1/2)(x/3) = (x/6)
Saving per year = 2000
3) Total = Board + clothing + saving
x = 2x/3 + x/6 + 2000
x/6 = 2000
x = 12000
4) His annual salary is $12000
In other word, make your bro go thru the sequence of (1)/(2)/(3)/(4).
his brother most prob is still in pri sch... might have difficulty understanding this..