Problema Solution

A textbook store sold a combined total of

296

physics and sociology textbooks in a week. The number of physics textbooks sold was three times the number of sociology textbooks sold. How many textbooks of each type were sold?

Answer provided by our tutors

let


x = the number of physics textbooks sold


y = the number of sociology textbooks sold


A textbook store sold a combined total of 296 physics and sociology textbooks in a week:


x + y = 296


The number of physics textbooks sold was three times the number of sociology textbooks sold:


x = 3y


by solving the system of equations:


x + y = 296


x = 3y


we find:


x = 222 physics textbooks


y = 74 sociology textbooks


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there were 222 physics textbooks and 74 sociology textbooks sold.