32. 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?
Answer: B
B: 8x + 25(y - 2)
This expression accurately reflects the total value of Alicia's purchases after accounting for the return of 2 pairs of slacks. Initially, Alicia buys x shirts at $8 each and y slacks at $25 each, but after returning 2 slacks, the value of the slacks is reduced to 25(y - 2).
A) 8x + 23y
This option incorrectly calculates the value of the slacks by using $23 instead of the correct price of $25 per pair. The correct total should maintain the price of slacks before the return adjustment.
B) 8x + 25(y - 2)
This option is correct as it accurately represents the total value by calculating the cost of x shirts at $8 each and the cost of slacks after returning 2 pairs, which reduces the total count from y to (y - 2) while keeping the price per pair at $25.
C) 8x - 2) + 25y
This expression is incorrect because it subtracts $2 from the total shirt cost rather than adjusting the quantity of slacks to account for the return. The return affects the quantity of slacks, not the shirt prices.
D) 8x + 25y - 2
While this option calculates the total cost of shirts and slacks correctly, it incorrectly subtracts $2 from the total, which does not correspond to the return of slacks. The return affects the quantity of slacks rather than providing a flat dollar deduction.
Conclusion
Option B is the only expression that accurately reflects the total value of Alicia's purchases, considering the return of slacks. All other options fail to either correctly account for the return or miscalculate the total value based on the prices given. Thus, B is the definitive choice that represents Alicia's total expenditure accurately.