Let children be x
Adult be y
5.10x+9.40y=1184.20 ... 1
x+y=158 ... 2
From 1// 510x+940y=118420 ... 3
From 2// y=158-x ... 4
Sub 4 into 3
510x+940(158-x)= 118420
510x+148520-940x=118420
-430x= -30100
x=70
As we know that children are x, 70 children tickets were sold.
The studio Cost per day as a function of the number of hours used by the sound technician and the inequality which models the data is :
- T(n) = 225 + 80n
- $205 ≤ (225 + 80n) ≤ $545
<u>Total studio cost</u> :
(studio fee per day + sound technician fee per hour)
If the Number of hours spent in studio = n
Total studio cost, T(n) = 225 + 80n
Amount at hand = $205
Additional earning from pre-orders = $340
This means that minimum amount Jenna can afford = amount at hand = $205
The maximum amount Jenna can afford = (Amount at hand + additional earning) = ($205 + $340 = $545)
Therefore in other to afford studio cost :
Minimum ≤ Studio cost ≤ maximum amount
$205 ≤ (225 + 80n) ≤ $545
Learn more :brainly.com/question/15748955
2 (x+2)/(x-10) is the simplified answer