A string is cut into 3 pieces A,B ,C in the ratio 1:2:4 .if "C" is longer than "B" by 24 feet.find the length of the string

Sagot :

C=B+24
B:C = 2:4 so B=24
24÷2=12
(1x12):(2x12):(4x12)
12:24:48
12+24+48
=74 feet
A = [tex] \frac{1}{1 + 2 + 4} [/tex]
      [tex] \frac{1}{7} [/tex]
B = [tex] \frac{2}{1 + 2 + 4} [/tex]
     [tex] \frac{2}{7} [/tex]
C = [tex] \frac{4}{1 + 2 + 4} [/tex]
    [tex] \frac{4}{7} [/tex]

C - B = 24 feet
[tex] \frac{4}{7} [/tex] - [tex] \frac{2}{7} [/tex] = 24 feet
[tex] \frac{2}{7} [/tex] = 24 feet
Question: A number multiplied by [tex] \frac{2}{7} [/tex] yields 24 feet, what is the number?

[tex] \frac{2}{7} [/tex] (x ) = 24 feet
(Multiply [tex] \frac{7}{2} [/tex] to both sides to eliminate [tex] \frac{2}{7} [/tex] )

x = [tex] \frac{24 x 7}{2} [/tex]
x = [tex] \frac{168}{2} [/tex]
x = 84 feet