Answer:
5 weeks
Step-by-step explanation:
Let the number of weeks that they work = a
Hence, from the question,
Valerie has $50 and will be able to save $15 each week from her babysitting job.
$50 + $15 × a
50 + 15a
Melanie has $75 and will save $10 each week from her lawn mowing job.
$75 + $10 × a
75 + 10a
How many weeks will have passed when Valerie and Melanie have the same amount of money?
Hence:
Valerie = Melanie
50 + 15a = 75 + 10a
15a - 10a = 75 - 50
5a = 25
a = 25/5
a = 5
Therefore, 5 weeks will have passed when Valerie and Melanie have the same amount of money.