For #32, P=2L+2W Subtract 2W from both sides, and swap left and right 2L = P-2W Divide by 2 2L/2=(P-2W)/2 L = P/2 - 2W/2 L=P/2 - W
For #35 Most of the expenses are in fractions (of the original amount, A), so they can be added: A/4 + A/5 + 2A/5 + 750 = A add the fractions, with a common denominator of 20, 5A/20 + 4A/20 + 8A/20 +750 = A (5A+4A+8A)/20 +750 = A 17A/20 + 750 = A
Now subtract 17A/20 from both sides and swap left and right A - 17A/20 = 750 (3/20)A = 750
Multiply both sides by 20/3 (to make one unit of A on the left)