7. At a clothing store, John bought 2 equally priced shirts and 1 pair of pants. The price of the pants was n dollars, and the total price for the 3 items was 75 dollars. What was the price, in dollars, of each of the shirts in terms of n?
Answer: D
The price of each shirt in terms of n is (75-n)/2.
To find the price of each shirt, we first express the total price of the two shirts and the pants. The total cost is 75 dollars, where the pants cost n dollars. Thus, the cost of the two shirts combined is 75 - n dollars, leading to the price of each shirt being (75 - n)/2.
A) (75-n)/2
This option correctly calculates the price of each shirt by considering the total price of the two shirts as 75 - n. Dividing by 2 gives the price per shirt, making this option accurate.
B) (75+n)/2
This option incorrectly adds n to 75 before dividing by 2, which does not reflect the total cost of the shirts. The addition of n does not correspond to the price structure described in the question, rendering this option incorrect.
C) (75-n)/3
This option incorrectly divides the total cost of the two shirts (75 - n) by 3 instead of 2. Since there are only two shirts, this miscalculation leads to an inaccurate price per shirt, making this option incorrect.
D) (75-n)/2
This option is the same as A, correctly determining the price of each shirt as (75 - n)/2. It accurately reflects the total cost of the shirts based on the information provided in the question, confirming its correctness.
Conclusion
The correct answer is D, which accurately represents the price of each shirt in relation to the cost of the pants. Options A and D are identical and correct, while B and C fail to adhere to the problem's requirements by miscalculating the distribution of costs. Thus, D is definitively the valid answer based on the given conditions.