Grades 11-12 Video Solutions 2026-2026_11-12

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Question 6. A store has the following special offer. If you buy three items, you will get the cheapest item for free. Julia selects six pairs of socks, each at a different price. Individually, they are priced at $2.90, $3.10, $3.50, $4.30, $4.60, and $4.90. What is the maximum total value of the two pairs of socks she can get for free? A. $6.60, B. $7.20, C. $7.40, D. $7.70, or E. $8.10. No matter what combination of socks are made, the cheapest pair, the one for $2.90, will always be one of the free pairs. The goal is thus to maximize the price of the other pair. This is done by grouping the next two cheapest pairs with the $2.90 pair so that the groups are $2.90, $3.10, $3.50, and $4.30, $4.60, $4.90. This results in the $4.30 pair also being free. Therefore, the maximum total value is $2.90 plus $4.30, which is $7.20, and that is answer choice B.

Keywords

special offer

cheapest item free

socks pricing

maximum total value

grouping items