Question

A textbook store sold a combined total of 385 history and math textbooks in a week. The number of math textbooks sold was 55 less than the number of history textbooks sold. How many textbooks of each type were sold

Answer 1

Let's denote the number of history textbooks sold as H and the number of math textbooks sold as M.

From the information given, we can set up the following equations:

1) H + M = 385
2) M = H - 55

Substitute the value of M from equation 2 into equation 1:

H + (H - 55) = 385
2H - 55 = 385
2H = 440
H = 220

Now, substitute the value of H back into equation 2 to find M:

M = 220 - 55
M = 165

Therefore, 220 history textbooks and 165 math textbooks were sold.