Trick-or-Treat

October 27, 2014

Nate and Alyza’s parents limited their trick-or-treating to five streets in their neighborhood. Halloween candy was handed out at one house on the 1st street, three houses on the 2nd street, four houses on the 3rd street and seven houses on the 4th street. If this pattern continued, at how many houses was Halloween candy handed out on the 5th street?

 

In total, at how many houses did Nate and Alyza receive Halloween candy if they got candy at each of the houses where it was being handed out on those five streets?

 

At the 1st house, Nate and Alyza were given a total of 10 pieces of candy. At each house where candy was handed out on the 2nd, 3rd and 4th streets, Nate and Alyza were given a total of 8, 6 and 4 pieces of candy, respectively. At each of the houses where candy was handed out on the 5th street, Nate and Alyza received 2 pieces of candy. When they returned home, Nate and Alyza divided up all the candy so that they each had the same number of pieces. How many pieces of candy did they each get?