anonymous
  • anonymous
18% and 6% of a sum of money differs by $60. How much is the sum of money?
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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schrodinger
  • schrodinger
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JamesJ
  • JamesJ
Call the amount of money X. How much is 18% of X? It is 0.18X. And how much is 6% of X? It is 0.06X Now, what's the relationship between 0.18X 0.06X and $60 ?
anonymous
  • anonymous
0.12 x $60
JamesJ
  • JamesJ
no

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anonymous
  • anonymous
i dont know D:
JamesJ
  • JamesJ
In terms of the algebraic expression we wrote above, what is "18% and 6% of a sum of money". The sum of money is X.
anonymous
  • anonymous
18% + 6% = sum of money
JamesJ
  • JamesJ
0.18X and 0.06X Now, what is the difference between the two of them? 0.18X - 0.06X And what amount are we told that is equal to?
anonymous
  • anonymous
0.12
JamesJ
  • JamesJ
No. 0.18X - 0.06X = 0.12X And what now is the amount of money we are told that difference is equal to?
anonymous
  • anonymous
$60
JamesJ
  • JamesJ
Right, so what is the equation you need to solve?
anonymous
  • anonymous
it need to solve the sum of money?
JamesJ
  • JamesJ
"18% and 6% of a sum of money differs by $60. How much is the sum of money?"
JamesJ
  • JamesJ
What is the algebraic expression we are using for "the sum of money"? X What do we know about X?
JamesJ
  • JamesJ
We know that 0.18X - 0.06X = $60
JamesJ
  • JamesJ
Now solve that equation for X.
anonymous
  • anonymous
0.12X=$60 60/0.12= X
JamesJ
  • JamesJ
Yes, but you can't leave the answer that way. Calculate it out.
anonymous
  • anonymous
500 :D YES YOUR THE BEST TEACHER ONLINE EVER!!
JamesJ
  • JamesJ
Now verify the result to make sure you got it right. What is 18% of X?
anonymous
  • anonymous
I Don't get it
anonymous
  • anonymous
18% multiply x
JamesJ
  • JamesJ
We want to make sure we haven't made a mistake. To do that, we are now working the problem "forwards" to make sure it is consistent with our solution, which was working the problem "backwards". So working it forwards... what is 18% of $500? $90 What is 6% of $500? $30 Hence what is the difference of 18% of $500 and 6% of $500? It is $90 - $30 = $60 Is that consistent with what we were told?
anonymous
  • anonymous
YES SIR :D
JamesJ
  • JamesJ
Yes it is consistent. Hence we can now say with confidence that $500 is the sum of money and the final answer. I strongly recommend you do this verification step at the end of all these problems. You will catch many errors this way.
anonymous
  • anonymous
Yes thank you for your recommendation.
anonymous
  • anonymous
Can i ask you something else please
JamesJ
  • JamesJ
if it's a new question, post it on the left. But in principle, yes.
anonymous
  • anonymous
K Thanks for your help, i don't know what else i should do to give you something back
JamesJ
  • JamesJ
don't worry. ok, till later
anonymous
  • anonymous
k thank you again
anonymous
  • anonymous
i gave you a medal

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