Question 1145611: toni has completed 4/5 of a race. if she has run 2 3/5 kilometers so far, how long is the entire race? Found 2 solutions by Theo, ikleyn:Answer by Theo(13342) (Show Source):
You can put this solution on YOUR website! let x = the length of the entire race.
4/5 * x + (2 + 3/5) kilometers.
this is equivalent to 4/5 * x = 13/5 kilometers.
multiply both sides of the equation by 5/4 to get:
5/4 * 4/5 * x = 13/5 * 5/4
simplify to get:
x = 13/4 kilometers.
confirm by taking 4/5 * 13/4 = 13/5 kilometers.
this confirms the the value of x = 13/4 is correct.
the solution is that the entire race is 13/4 kilometers which is equivalent to 3 and 1/4 kilometers.
In my solution, I will use decimals instead of fractions.
= 0.8; = 2.6.
Let x be the unknown length of the entire race.
Then the equation is
0.8*x = 2.6.
The solution/(the answer) is
t = = 3.25 kilometers = kilometers.
