27. A 35 foot long tube is cut into two pieces with ratio 4:5 Find the length of the shorter piece. a) 9 feet
b) 16 feet
c) 12 feet
d) 20 feet

x= 16 ft.

Step-by-step explanation:

Let 'x' and 'y' are the lengths of the two pieces then:

1.) x + y = 36

2.) x : y = 4 : 5 cross multiply

3.) 5x = 4y

by solving the system of equations

x + y = 36

5x = 4y

we find

x = 16 ft

y = 20 ft

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