A store sells small notebooks for $6 and large notebooks for $12. If a student buys 6 notebooks and

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A store sells small notebooks for $6 and large notebooks for $12. If a student buys 6 notebooks and spends $60, how many of each did he buy?

Let the amount of small notebooks be s. Let the amount of large notebooks be l. We're given two equations:

1. l + s = 6
2. 12l + 6s = 60

Multiply equation (1) by -6

1. -6l - 6s = -36
2. 12l + 6s = 60

Now add equation 1 to equation 2:
12l - 6l + 6s - 6s = 60 - 36

Cancel the 6s terms, and we get:
6l = 24

To solve for l, we type this equation into our search engine and we get:
l = 4

Now substitute this into equation 1:
4 + s = 6

To solve for s, we type this equation into our search engine and we get:
s = 2