SOLUTION: A 27-foot board is cut into pieces with lengths in the ratio 4:5. Which is the length of the longer piece?

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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(4551) About Me  (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

Answer by solver91311(12126) About Me  (Show Source):
You can put this solution on YOUR website!


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:



Cross multiply and solve for .


John