Bob bought 10 note books and 4 pens for 18$. Bill bought 6 notebooks and 4 pens for 12$. Find the pr | MathCelebrity Forum

Bob bought 10 note books and 4 pens for 18$. Bill bought 6 notebooks and 4 pens for 12$. Find the pr

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Bob bought 10 note books and 4 pens for 18$. Bill bought 6 notebooks and 4 pens for 12$. Find the price of one note book and one pen.

Let the price of each notebook be n. Let the price of each pen be p. We're given two equations:
  1. 10n + 4p = 18
  2. 6n + 4p = 12
Since we have matching coefficients for p, we subtract equation 1 from equation 2:
(10 - 6)n + (4 - 4)p = 18 - 12

Simplifying and cancelling, we get:
4n = 6

Type this equation into our search engine and we get:
n = 1.5

Now, substitute this value for n into equation (2):
6(1.5) + 4p = 12

Multiply through:
9 + 4p = 12

Type this equation into our search engine and we get:
p = 0.75
 
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