Problema Solution

a university bookstore recently sold a wirebound graph-paper notebook for $2.50,and a college-ruled notebook for $2.30. At the start of spring semester, a combination of 50 of these notebooks were sole for a total of $118.60. How many of each type were sold?

Answer provided by our tutors

Let x = no. of graph notebooks; Let y = no. of college ruled notebooks

The number of items equation:

x + y = 50

So

x = (50 - y);


The second equation:

2.50x + 2.30y = 118.60


Substitute (50-y) for x, solve for y:

2.50(50-y) + 2.30y = 118.60


125 - 2.5y + 2.3y = 118.60


-2.5y + 2.3y = 118.6 - 125

-0.2y = -6.4

y = -6.4/-.2

y = 32 ruled note books


x = 50 - y

x = 50 -32

x = 18 graph note books