Question

A pair of jeans usually costs $80.00. the jeans are on sale at jane’s jean shop for 50% off. denim discounters offers the same jeans at 30% off, as well as a further 20% off the already discounted price. are the jeans the same price at both stores? justify your answer.

Answer 1

The jeans at Jane's Jean Shop, after a 50% discount, will cost $40.00. At Denim Discounters, after a 30% discount and an additional 20% off the reduced price, the jeans will cost $44.80. Therefore, the jeans are cheaper at Jane's Jean Shop.

Step-by-step explanation:

The student's question is whether a pair of jeans priced at $80.00 will be the same price at Jane's Jean Shop with a 50% discount compared to Denim Discounters with an initial 30% discount followed by an additional 20% off the already discounted price.

At Jane's Jean Shop, the jeans are 50% off, so:
$80.00 - (50% of $80.00) = $80.00 - $40.00 = $40.00.

At Denim Discounters, the initial discount is 30%, so the jeans are:
$80.00 - (30% of $80.00) = $80.00 - $24.00 = $56.00.
Then a further 20% discount on the discounted price:
20% of $56.00 = $11.20,
So, $56.00 - $11.20 = $44.80.

Comparing the prices from both stores, jeans from Jane's Jean Shop would cost $40.00, whereas at Denim Discounters, the final price would be $44.80. Therefore, the jeans are not the same price at both stores; they are cheaper at Jane's Jean Shop.