In 4 hours, the two coaches charge the same amount of money
Solution:
Given that Coach A is offering her services for an initial $5000 in addition to $450 per hour
Let "x" be the number of hours coach is offering her services
Therefore,
Coach A : initial charge + $ 450 per hour
Coach A : 5000 + 450x ---- eqn 1
Coach B is offering her services for an initial $4000 in addition to $700 per hour
Therefore,
Coach B : initial charge + $700 per hour
Coach B : 4000 + 700x ---- eqn 2
For the two coaches charge the same amount of money, equate eqn 1 and eqn 2
5000 + 450x = 4000 + 700x
5000 - 4000 = 700x - 450x
1000 = 250x
[tex]x = \frac{1000}{250} = 4[/tex]
x = 4
Thus, in 4 hours, the two coaches charge the same amount of money
