Question

A fashion photographer needs to hire a stylist to prepare her models. Emmet charges $177 for showing up, plus $75 per hour. Pam charges $187 plus $70 per hour. The photographer realizes that, given the expected duration of her photo shoot, either stylist would cost her the same amount. What would the duration be? What would the cost be?

Answer 1

Emmet charges $177 for showing up, plus $75 per hour

Total charge = Show up charge + Per hour charges

Pam charges $187 plus $70 per hour

either stylist would cost her the same amount

i.e the total cost of photographer and stylist

Let x be the time taken in shoot

so, the charge of Emmet is 177 + 75x

The charge of palm = 187+70x

Since the charge is equal so,

`\begin{gathered} 177+75x=187+70x_{} \\ 75x-70x=187-177 \\ 5x=10 \\ x=2 \end{gathered}`

we get x= 2

i.e. 2 hours

The duration at which the cost of palm and emmet is equal is 2 hours

for the cost

substitute the value of x in the cost equation :

Emmet = 177 + 75x

Emmet cost=177+75(2)

Emmet cost = 327

Since the cost is same so,

The cost of emmet and palm is $327

Answer: 2 hours & $327