SOLUTION: A rancher is planning to put up 220 yards of fencing. In the morning she puts up 80 yards, and in the afternoon she puts up 40% of the remaining fence. What percent of the fence di

Algebra ->  Percentages: Solvers, Trainers, Word Problems and pie charts -> SOLUTION: A rancher is planning to put up 220 yards of fencing. In the morning she puts up 80 yards, and in the afternoon she puts up 40% of the remaining fence. What percent of the fence di      Log On


   

Question 92008: A rancher is planning to put up 220 yards of fencing. In the morning she puts up 80 yards, and in the afternoon she puts up 40% of the remaining fence. What percent of the fence did she put up that day?

Answer by bucky(2189) About Me  (Show Source):
You can put this solution on YOUR website!
The plan is to put up a total of 220 yards of fencing. In the morning 80 yards are erected,
so the remaining fence to be installed is 220 yards minus the 80 yards or 140 yards left
to go.
.
In the afternoon 40% (or 0.4) of the remaining fence is installed. Since 140 yards is
the remaining amount and only 0.4 times that is installed, then 140 * 0.4 = 56 yards is
installed in the afternoon. That means that on that one day a total of 80 + 56 yards or
136 yards was the amount installed.
.
The percentage of fence installed on that day was 136/220 which is 0.618181 and this converts
to 61.818% which rounds off to 62%.
.
Hope this helps you to understand the problem.