Using a coupon for 15% off, Joseph paid $1,700 for a new TV. What Was The Regular Price Of The TV?

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Using a coupon for 15% off, Joseph paid $1,700 for a new TV. What Was The Regular Price Of The TV?

Mathematics
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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.

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So what you're saying is that 15% of \(x\) price is $1700. Remember that 15% is the same as 15 / 100. We can set that up like this: \[\frac{15}{100} = \frac{1700}{x}\] Then you can solve for \(x\). You can make it even easier if you flip both sides: \[\frac{100}{15} = \frac{x}{1700}\]
This is not really the case. I think there is a tiny mistake. What really happens is Joseph gets a discount of 15% on the tv and hence only pays $1.700. So what really happens is J pays only 100%-15%= 85% of the real price. Now if the TV costs $100, J is paying only $85. Now let the real value of the TV be x. We should now see that \[ (100\85)=(x \ 1700) \] Which gives us x=2000 Hence the real value of the tv is $2000. Let me verify. 15% of $2000= 2000* 15/100 = $300 Hence J only pays 2000-300=1700 Hope you understand...
100 / 85 = x/ 1700 Small typo! Not x1700!

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Oh dear, you're totally right samith! Sorry!

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