Step 1: Our output value is 350.
Step 2: We represent the unknown value with $x$.
Step 3: From step 1 above,$350=100\%$.
Step 4: Similarly, $x=25\%$.
Step 5: This results in a pair of simple equations:
$350=100\%(1)$.
$x=25\%(2)$.
Step 6: By dividing equation 1 by equation 2 and noting that both the RHS (right hand side) of both
equations have the same unit (%); we have
$\frac{350}{x}=\frac{100\%}{25\%}$
Step 7: Again, the reciprocal of both sides gives
$\frac{x}{350}=\frac{25}{100}$
$\⇒x=87.5$
<em>Therefore, $25\%$ of $350$ is $87.5$</em>
Let's focus on a single hour. Once you know the probability of a certain hour, all hour will have the same time schedule, and so the probability will be the same.
Since a hour is composed by 60 minutes, the 13 minutes of news compose the 13/60 of the given time. For the sake of completeness, news compose the 2/60 of the given time, and music the 45/60 of the given time.
Again, this is the way a single hour is scheduled. Since Lenny will choose a random time of the day, we will turn the radio on during a particular hour, which will be structured as we just described.
So, let's say that that Lenny will turn the radio on between 3 and 4 pm (these numbers are just for example purpose, since every hour will work in the same way). During this hour, the news are up 13/60 of the time.
So, this is the probability that the news will be on. The complete schema is the following:
X would represent amount of money made by Asuka.
Amount made by Tracy; x + 5.80
Amount by Kyle; 0.5(x + 5.80)= 0.5x + 2.90.
Amount by Bev; 3(0.5x + 2.90) = 1.5x + 8.70
X + x + 5.80 + 0.5x + 2.90 + 1.5x + 8.70= 246.20
4x + 17.40= 246.20
4x + 17.40 - 17.40 = 246.20 - 17.40
4x= 228.80
4x/4 = 228.80/4
X = 57.20
Tracy- 57.20 + 5.80 = 63
Kyle- 31.50
Bev- 94.50
Asuka- 57.20
Hope this helps.
That would be 8.26 meters.