6. A sweater that normally sells for $87 is marked 25% off. Which of the following estimates the sale price of the sweater?
Answer: B
The sale price of the sweater is approximately $65.
To find the sale price of the sweater after a 25% discount, we calculate 25% of $87, which is $21.75, and subtract this amount from the original price. The estimated sale price is therefore around $65.
A) $36
This option is incorrect as it significantly underestimates the sale price. Calculating 25% off of $87 gives a discount of $21.75, which does not align with a sale price of $36.
B) $65
This option accurately reflects the estimated sale price after applying a 25% discount to the original price of $87. The calculation shows that $87 minus $21.75 results in approximately $65, making this the correct answer.
C) $51
This choice is incorrect as it overestimates the sale price after the discount. The calculation shows that $51 is not the result when deducting the proper discount from the original price of $87.
D) $22
This option is incorrect because it greatly undervalues the sale price. A discount of 25% from $87 cannot yield a sale price as low as $22, which is far less than the actual discounted price.
Conclusion
The correct answer, $65, is derived from accurately applying the 25% discount to the original price of $87. All other options fail to reflect the correct calculation, either underestimating or overestimating the sale price. Thus, option B is the only viable estimation of the sale price after the discount.