Fifteen more than twice the hours Carla worked last week is the same as three times the hours she worked this week decreased by

Question

Nat2105 [25]

3 years ago

14

Fifteen more than twice the hours Carla worked last week is the same as three times the hours she worked this week decreased by

15. She worked the same number of hours each week. How many hours did she work?

Mathematics

1 answer:

lapo4ka [179] · Answer 1 · 2022-02-06T03:17:19+03:00

lapo4ka [179]3 years ago

3 0

2x-15=3(x-15)
2x-15=3x-45
2x+30=3x
30=x

Let's check this work!

2(30)-15=3(30-15)
60-15=3(15)
45=45

She worked 45 hours each week

*the reason it is 2x-15 and not 15+2x is because "more than" is considered a "turn around word" meaning it is the opposite