Question 228686: A 27-foot board is cut into pieces with lengths in the ratio 4:5. Which is the length of the longer piece? Found 2 solutions by rapaljer, solver91311:Answer by rapaljer(4671) (Show Source):
You can put this solution on YOUR website! Let 4x= length of the shorter piece
5x= length of the longer piece
The ratio of the two pieces is 4:5.
4x+5x=27
9x=27
x=3 feet
4x=12 feet
5x=15 feet
Dr. Robert J. Rapalje, Retired
Seminole State College
Altamonte Springs Campus
Let represent the measure of the longer piece. Then the measure of the shorter piece must be . Since these two pieces are in the ratio 4:5, we can write:
