At a hockey game, a vendor sold a combined total of 175 sodas and hot dogs. the number of sodas sold was 35 more than the number of hot dogs sold. find the number of sodas sold and the number of hot dogs sold.

You would take the total (175) and subtract the difference (35) then take the remaining total (140) and divide into two equal parts (70 hot dogs & 70 sodas) then add the extra number of sodas (35) and add it to the 70 sodas and you get 105 sodas and 70 hot dogs sold. 

4, -4 is the other point it would pass through