9514 1404 393
Answer:
- Mark: s = 200 +20j
- Ryan: s = 350 +15j
- 30 jobs
Step-by-step explanation:
The amount in savings (s) will be the initial amount plus the product of the pay per job and the number of jobs (j).
<u>Mark</u>
He initially has $200, and is paid $20 per job. His savings will be ...
s = 200 +20j
<u>Ryan</u>
He initially has $350, and is paid $15 per job. His savings will be ...
s = 350 +15j
<u>Same Savings</u>
The savings will be the same when the difference between the amounts is zero:
s - s = 0
(200 +20j) -(350 +15j) = 0 . . . . . substitute the expressions for s
-150 +5j = 0 . . . . . collect terms
-30 +j = 0 . . . . . . . divide by 5
j = 30 . . . . . . add 30
The brothers will have the same amount in savings after they each work 30 jobs.
60 times 6 equals 360.
So the answer is $360
