The problem/comic in question: http://xkcd.com/287/

I'm not sure this is the best way to do it, but here's what I've come up with so far. I'm using CFML, but it should be readable by anyone.

<cffunction name="testCombo" returntype="boolean">
    <cfargument name="currentCombo" type="string" required="true" />
    <cfargument name="currentTotal" type="numeric" required="true" />
    <cfargument name="apps" type="array" required="true" />

    <cfset var a = 0 />
    <cfset var found = false />

    <cfloop from="1" to="#arrayLen(arguments.apps)#" index="a">
    	<cfset arguments.currentCombo = listAppend(arguments.currentCombo, arguments.apps[a].name) />
    	<cfset arguments.currentTotal = arguments.currentTotal + arguments.apps[a].cost />
    	<cfif arguments.currentTotal eq 15.05>
    		<!--- print current combo --->
    		<cfoutput><strong>#arguments.currentCombo# = 15.05</strong></cfoutput><br />
    		<cfreturn true />
    	<cfelseif arguments.currentTotal gt 15.05>
    		<cfoutput>#arguments.currentCombo# > 15.05 (aborting)</cfoutput><br />
    		<cfreturn false />
    	<cfelse>
    		<!--- less than 15.05 --->
    		<cfoutput>#arguments.currentCombo# < 15.05 (traversing)</cfoutput><br />
    		<cfset found = testCombo(arguments.currentCombo, arguments.currentTotal, arguments.apps) />
    	</cfif>
    </cfloop>
</cffunction>

<cfset mf = {name="Mixed Fruit", cost=2.15} />
<cfset ff = {name="French Fries", cost=2.75} />
<cfset ss = {name="side salad", cost=3.35} />
<cfset hw = {name="hot wings", cost=3.55} />
<cfset ms = {name="moz sticks", cost=4.20} />
<cfset sp = {name="sampler plate", cost=5.80} />
<cfset apps = [ mf, ff, ss, hw, ms, sp ] />

<cfloop from="1" to="6" index="b">
    <cfoutput>#testCombo(apps[b].name, apps[b].cost, apps)#</cfoutput>
</cfloop>

The above code tells me that the only combination that adds up to $15.05 is 7 orders of Mixed Fruit, and it takes 232 executions of my testCombo function to complete.

Is there a better algorithm to come to the correct solution? Did I come to the correct solution?