Alpha Cipher

The letters A to Z have each been allocated a different number between 1 and 26. The number next to each word in this list is the sum total of the letter values in that word. So, for example, in RAM, R might equal 17, A 11 and M 26, or R might be 20, A 21 and M 13, or any other combination adding up to 54. We’ve placed some starter letters in the grid at the bottom — can you work out the values of the rest?