Answer:
If you look over the steps you can see that until 4x + x + 3 = 18, evertything is dandy. But the step after that 4x + x =21 seems a bit fishy.
Think about it they subtract 3 from both sides so the first side is correct
4x + x, but they added 3 to the other side:
not
4x+x = 21
Then we solve for 4x + x = 15
To solve for y we use :
y = x+3
y = 3+3 = 6
so (3,6) is the right answer
Step-by-step explanation:
The rate by which Rita is paid first 8 hours = $16
The next per hour rate after 8 hours = times the usual rate.
Now, 1.5 times $16 = 1.5 x 1 6 = $24
So, for each hour worked after 8th hour, Rita is paid $24 per hour.
Now, the intervals she has worked are:
(a) from 8:15 to 12: 45 pm
So, the number of hours worked = 45 minutes + 45 minutes + 3 hours
= 4 hours 30 minutes .... (1) (as 60 minutes = 1 hour)
(b) break of 45 minutes after 12: 45 = 12: 45 + 45 minutes
= 12 hour 90 minutes = 1 : 30 P M
So, she started working at 1: 30 and worked till 6: 15
So, the number of hours worked = 30 minutes + 15 minutes +4 hours
= 4 hours 45 minutes .... (2)
So, by adding (1) and (2) the total hours worked by Rita
= 4 hours 30 minutes + 4 hours 45 minutes
= 8 hours 75 minutes = 9 hours 15 minutes
9 hours 15 minutes = ( 8 + 1 .25 ) ( 15 minutes = 0.25 of an hour)
So, the payment is ( 8 x (16) + 1.25 (24) )
= 128 + 30 = 158
Hence, the total money earned by Rita = $158