Question 538541
Let's use:

E = number of extra(overtime)hours worked.
N = Number of normal hours worked
T= Total hours worked to make 165


The information provided is:


Price for THE FIRST 40 hours is 3. 
Price for extra hours is 4.5
At least the total income should be 165
N=40



Then,

N*3 + 4.5*E = 165 

40*3 + 4.5*E = 165 

4.5*E = 165 - 40*3
4.5*E = 165 - 120
4.5*E = 45
E = 45/4.5
E = 450/45
E = 10


So, the the formula of the total hours worked to make at least 165 is:

T = N + E

T = 40+10 
T = 50

Answer: To make at least 165, June has to work 50 hours.