SOLUTION: A textbook store sold a combined total of 268 psychology and history textbooks in a week.
The number of history textbooks sold was 58 less than the number of psychology textbooks
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Question 1073271: A textbook store sold a combined total of 268 psychology and history textbooks in a week.
The number of history textbooks sold was 58 less than the number of psychology textbooks sold.
How many textbooks of each type were sold?
Answer by Theo(13342) (Show Source): You can put this solution on YOUR website!
let x = number of psychology books sold.
let y = number of history books sold.
a total of 368 books were sold.
x + y = 268
the number of history books sold was 58 less than the number of psychology books sold.
y = x - 58
you have 2 equations that need to be solved simultaneously.
they are:
x + y = 268
y = x - 58
since y = x - 58, then replace y in the first equation with x - 58 to get:
x + (x - 58) = 268
remove parentheses to get x + x - 58 = 268.
combine like terms to get 2x - 58 = 268.
add 58 to both sides to get 2x = 326.
divide both sides by 2 to get x = 163.
since x + y = 268, then y = 268 - 163 = 105
the number of psychology books sold is 163.
the number of history books sold is 105.
163 - 105 = 58.
there were 58 less history books sold than psychology books.
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