On Monday; Alicia buys x shirts at $8 each and y slacks at $25 each. On Wednesday, Alicia returns 2 pairs of slacks. Which expression represents the total value of her purchases?

Rationale

8x + 25(y - 2)

Alicia's total purchases can be expressed as the cost of the shirts plus the cost of the slacks. Since she returns 2 pairs of slacks, the expression must subtract the cost of those slacks from the total.

A (8x + 23y) YOUR ANSWER

This expression incorrectly adjusts the price of the slacks to $23 each instead of maintaining the original price of $25. Therefore, it does not accurately reflect the total value of the purchases after returning slacks.

B (8x + 25(y - 2)) CORRECT

This expression correctly reflects the total value of Alicia's purchases. It calculates the total cost of the shirts as $8x and the cost of the slacks as $25 times the quantity of slacks minus 2 (the returned pairs), which accurately represents her total expenditure.

C (8x - 2) + 25y) YOUR ANSWER

This expression incorrectly subtracts 2 directly from the cost of shirts ($8x) rather than accounting for the return of slacks. Furthermore, it fails to adjust the slacks' cost, leading to an incorrect total value of purchases.

D (8x + 25y - 2) YOUR ANSWER

This expression incorrectly subtracts 2 as a flat value rather than reflecting the price of the 2 pairs of slacks returned, which would actually be $50 ($25 each). Thus, it does not represent the accurate total value of Alicia's purchases.

Conclusion

To summarize, the expression that correctly represents the total value of Alicia's purchases, factoring in the return of slacks, is 8x + 25(y - 2). This expression captures both the cost of the shirts and the adjusted cost of the slacks after the return, ensuring an accurate calculation of her total expenditure.

On Monday; Alicia buys x shirts at $8 each and y slacks at $25 each. On Wednesday, Alicia returns 2 pairs of slacks. Which expression represents the total value of her purchases?

8x + 25(y - 2)

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