Problema Solution
a 4 ft piece of pvc pipe is cut into three pieces. the longest is 12 in longer than twice the smallest piece. the middle piece is 6inches less than the longest piece how long is each piece
Answer provided by our tutors
A+B+C=48 inches (4ft), A is the longest piece, B is the middle, C is the shortest
A=2C+12, B=A-6
solve for C using substitution: 2C+12+A-6+C=48 --> 2C+12+2C+12+C=48
simplify: 5C+18=48 --> 5C=30 --> C=6
solve for A using substitution: A=2(6)+12 --> A=24
solve for B: 24-6=B --> B=18
check your work: 18+24+6=48