Problem

A textbook store sold a combined total of 252 history and psychology textbooks in a week. The number of p5ychology textbooks sold was 84 less than the number of history textbooks sold. How many textbooks of each type were sold? Number of history textbooks sold: Number of psychology textbooks sold: \[ \times 5 \] Explanation Check D.

Solution

Step 1 :Translate the problem into a system of linear equations. Let H represent the number of history textbooks sold and P represent the number of psychology textbooks sold. We know that the total number of textbooks sold is 252, so we have the first equation: \(H + P = 252\). We also know that the number of psychology textbooks sold was 84 less than the number of history textbooks sold, so we have the second equation: \(P = H - 84\).

Step 2 :Solve the system of equations to find the values of H and P. The solution is \(H = 168\) and \(P = 84\).

Step 3 :Final Answer: The number of history textbooks sold is \(\boxed{168}\) and the number of psychology textbooks sold is \(\boxed{84}\).

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Source: https://solvelyapp.com/problems/lXrKSs1zU1/

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