At vero eos et accusamus et iusto odio dignissimos ducimus qui blanditiis praesentium voluptatum deleniti atque corrupti quos dolores et quas molestias excepturi sint occaecati cupiditate non provident, similique sunt in culpa qui officia deserunt mollitia animi, id est laborum et dolorum fuga. Et harum quidem rerum facilis est et expedita distinctio. Nam libero tempore, cum soluta nobis est eligendi optio cumque nihil impedit quo minus id quod maxime placeat facere possimus, omnis voluptas assumenda est, omnis dolor repellendus. Itaque earum rerum hic tenetur a sapiente delectus, ut aut reiciendis voluptatibus maiores alias consequatur aut perferendis doloribus asperiores repellat.
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 ?
0.12 x $60
i dont know D:
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.
18% + 6% = sum of money
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?
No. 0.18X - 0.06X = 0.12X And what now is the amount of money we are told that difference is equal to?
Right, so what is the equation you need to solve?
it need to solve the sum of money?
"18% and 6% of a sum of money differs by $60. How much is the sum of money?"
What is the algebraic expression we are using for "the sum of money"? X What do we know about X?
We know that 0.18X - 0.06X = $60
Now solve that equation for X.
0.12X=$60 60/0.12= X
Yes, but you can't leave the answer that way. Calculate it out.
500 :D YES YOUR THE BEST TEACHER ONLINE EVER!!
Now verify the result to make sure you got it right. What is 18% of X?
I Don't get it
18% multiply x
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?
YES SIR :D
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.
Yes thank you for your recommendation.
Can i ask you something else please
if it's a new question, post it on the left. But in principle, yes.
K Thanks for your help, i don't know what else i should do to give you something back
don't worry. ok, till later
k thank you again
i gave you a medal