Considering the definition of an inequality, the maximum number of tickets that they can buy is 10.
An inequality is the existing inequality between two algebraic expressions, connected through the signs:
An inequality contains one or more unknown values called unknowns, in addition to certain known data.
Solving an inequality consists of finding all the values of the unknown for which the inequality relation holds.
In this case, you know that
So, they want to spend on the purchase of tickets for the merry-go-round a value less than or equal to $36 - $15= $21.
Being "x" the maximum number of tickets that they can buy, the inequality that expresses the previous relationship is
2x≤ 21
Solving:
x≤ 21÷2
x≤ 10.5
Then, the maximum number of tickets that they can buy is 10.
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