Question 710791
EDITED: Added derivation of slope-intercept form.
EDIT: Beware Unknown Possible Mistake in Solution.


Build a cost equation.  Maybe try like, x movie passes, y gift certificates.  

How many of them you buy must not be more than $70.


{{{6x+10y<=70}}}
You also have some conditions:
{{{x>=5}}} and {{{y>=2}}}


Graph those three inequalities and you can read your desired choices directly on the graph.  Putting the cost equation into simplified, slope intercept form may be useful.  {{{y<=-(3/5)x+7}}}

Changinge the standard form to slope-intercept form:
10y<=-6x+70
5y<=-3x+35
{{{y<=-(3/5)x+7}}}


Try the graph.  There seem to be [seven] points for x and y that satisfy the problem description.  You're only interested in the integer coordinates (x,y) in the region.