Toko follows a budget to buy supplies to paint his room. he spends 1/2 of his budget on a roller, a tray, and tape. he spends $12.27 on paint, and of the remaining money, he spends 2/3 on a trim brush, which costs $3.82. how much money had he budgeted?

example 2 – simplify: step 1: completely factor both the numerators and denominators of all fractions. step 2: change the division sign to a multiplication sign and flip (or reciprocate) the fraction after the division sign; essential you need to multiply by the reciprocal. step 3 : cancel or reduce the fractions.

δabc ≅ δdcb by sas because

db ≅ ac . . given (side)

bc ≅ bc . . reflexive property (side)

∠dbc ≅ ∠ acb . . alternate interior angles where transversal bc crosses parallel lines bd and ac (included angle)