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?

Rationale

The price of each shirt is (75-n)/2.

To find the price of each shirt, we need to first express the total cost equation based on the given information. Since John bought 2 shirts and 1 pair of pants for a total of 75 dollars, with the pants priced at n dollars, we can set up the equation: 2s + n = 75, where s is the price of each shirt. Solving for s yields (75-n)/2.

A ((75-n)/2) YOUR ANSWER

This option correctly represents the price of each shirt. By rearranging the equation 2s + n = 75 to solve for s, we confirm that s = (75-n)/2, making this choice valid.

B ((75+n)/2) YOUR ANSWER

This choice incorrectly adds n to 75, which does not align with the total price of the items. The correct relationship involves subtracting the price of the pants from the total, not adding it, thus this expression does not represent the price of the shirts.

C ((75-n)/3) YOUR ANSWER

Dividing by 3 here misrepresents the number of shirts purchased. Since John bought 2 shirts, the correct division should be by 2, not 3, leading to an incorrect calculation of the shirt price.

D ((75-n)/2) CORRECT

This is the correct choice. It accurately reflects the price of each shirt derived from the total expenditure of 75 dollars minus the cost of the pants, divided by the number of shirts purchased.

Conclusion

The price of each shirt can be accurately calculated as (75-n)/2, indicating that in the equation involving the total cost of items, the subtraction of the pants' price from the total followed by division by the number of shirts yields the accurate price per shirt. This logical deduction clarifies how to manipulate the equation to isolate the variable representing shirt prices.

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?

The price of each shirt is (75-n)/2.

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