9514 1404 393
Answer:
1 1/7 ft
Step-by-step explanation:
Let s, d, c represent the numbers of feet of wire held by Sarah, Daniel, and Chris, respectively.
1/2s = 2/5d . . . . . . half of Sarah's is 2/5 of Daniel's
c = 3s . . . . . . . . . . .Chris has 3 times as much as Sarah
s + d + c = 6 . . . . . in all, they have 6 feet
Multiplying the first equation by 5/2, we find ...
d = 5/4s
Substituting for d and c in the last equation gives ...
s + 5/4s +3s = 6
s(21/4) = 6
s = 6(4/21) = 24/21 = 8/7
Sarah's wire is 1 1/7 feet long.
