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A university bookstore recently sold a wirebound graph-paper notebook for \$2.64, and a college-ruled notebook for \$3.61. At the start of spring semester, a combination of 50 of these notebooks were sold for a total of \$168.86. How many of each type were sold?

• Math -

x = number of graph notebooks
y = number of college ruled notebooks
2.64x = total value sold graph notebooks
3.61y = total value sold college notebooks

x + y = 50
2.64x + 3.61y = 168.86

Solve these 2 equations together by elimination or substitution method

I will use substitution method
x + y = 50
x = 50 - y

2.64x + 3.61y = 168.86
2.64(50 - y) + 3.61y = 168.86
132 - 2.64y + 3.61y = 168.86
132 + .97y = 168.86
.97y = 36.86
y = 38

substitute y = 38 in x + y = 50, to find x

x + 38 = 50
x = 12

12 graph notebooks were sold
38 college ruled notebooks were sold

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