Let the price of shoes = S. Then bag = S + 40.<br><br>
[[model:questions/solutions/q6984.png]]<br><br>
2 bags + 3 shoes = 460<br>
&bull; 2(S + 40) + 3S = 460<br>
&bull; 2S + 80 + 3S = 460<br>
&bull; 5S = 460 − 80 = 380<br>
&bull; S = 76<br><br>
The pair of shoes costs $76.<br>
Check: Bag = $116. 2 bags ($232) + 3 shoes ($228) = $460. ✓<br><br>
Final Answer: $76