## anonymous 5 years ago 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)?

1. anonymous

I think the answer might be 30% I just don't know how to get that answer.

2. anonymous

the price is x you would take 40% off then another 50% so total u would take off 90%

3. anonymous

so that would leave you 10%

4. myininaya

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%.

5. anonymous

The price would be 20% of the regular price. Let P = regular price, R = rack price, F = final price. $R = \frac{40}{100}*P$ $F = \frac{50}{100}*R \rightarrow F= \frac{50}{100}*\frac{40}{100} * P$ $= \frac{2000}{10000}*P = \frac{20}{100}*P = \text{20% of the regular price}$

6. myininaya

no its 30% is what we are paying and 70% is the discount I'm 100% sure

7. myininaya

x represents the price of an item before any discounts. the price we are paying is (x-.4x)-[(x-.4x)-.5(x-.4x)]=.3x

8. myininaya

the discount price is .7x

9. myininaya

So we are paying 30%

10. anonymous

$\text{"40% of the regular price"} \ne \text{"40% off the regular price"}$

11. anonymous

polpak can you help me with a problem when you finish this up...

12. anonymous

What problem?

13. anonymous

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.

14. anonymous

Thanks so much Myininaya!! :)

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