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 size did he​ buy?
He bought __ nothing small notebooks and __ nothing large notebooks.

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The answer to the question
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The student was able to buy 2 small notebooks and 4 large notebooks for a total of $60.

Assume that the small notebooks are x and the large notebooks are y.

The first expression would be:

Number of small notebooks bought + Number of large bought = 6

x + y = 6

The small books cost $6 and the large ones cost $12. A total of $60 was spent on both. As an expression, it will be:

(Number of small books x price of small books) + (Number of large books x price of large books) = Total cost

6x + 12y = 60

Express x in terms of y to solve:

x + y = 6

x = 6 - y

Solve the equation to get y:

6x + 12y = 60

(6 x (6 - y)) + 12y = 60

36 - 6y + 12y = 60

6y = 60 - 36

y = 24 / 6

y = 4 large notebooks

Number of small notebooks is:

= 6 books bought - 4 large books

= 2 small notebooks

In conclusion, the student bought 2 small notebooks and 4 large notebooks

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