A sign above a sweater says “Take an additional 50% off.” The price tag shows a price that is 40% of the regular price. What percent of the regular price is the discounted price (the price after both discounts)?

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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A sign above a sweater says “Take an additional 50% off.” The price tag shows a price that is 40% of the regular price. What percent of the regular price is the discounted price (the price after both discounts)?

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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I think the answer might be 30% I just don't know how to get that answer.
the price is x you would take 40% off then another 50% so total u would take off 90%
so that would leave you 10%

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lets think about it. Say we have something that cost 5 dollars regular price. If we take 40% off, we get the discount of 2 dollars. We are now paying 3 dollars for the item. But there is another discount of 50%. So the discounted price is is a $1.50. 1.50/5.00=.3=30% is what we are paying. The discount is 70%.
The price would be 20% of the regular price. Let P = regular price, R = rack price, F = final price. \[ R = \frac{40}{100}*P\] \[ F = \frac{50}{100}*R \rightarrow F= \frac{50}{100}*\frac{40}{100} * P \] \[= \frac{2000}{10000}*P = \frac{20}{100}*P = \text{20% of the regular price}\]
no its 30% is what we are paying and 70% is the discount I'm 100% sure
x represents the price of an item before any discounts. the price we are paying is (x-.4x)-[(x-.4x)-.5(x-.4x)]=.3x
the discount price is .7x
So we are paying 30%
\[\text{"40% of the regular price"} \ne \text{"40% off the regular price"}\]
polpak can you help me with a problem when you finish this up...
What problem?
A fence is to be built to enclose a rectangular area of 280 square feet. The fence along three sides is to be made of material that costs 5 dollars per foot, and the material for the fourth side costs 15 dollars per foot. Find the dimensions of the enclosure that is most economical to construct.
Thanks so much Myininaya!! :)

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