benny's older brother,Charles studies 16.5 hrs. each week. This is 180% more than the amount of time Benny spends studying. How many hrs. does Benny study eachweekto the nearest tenth of an hr? please help!
1.8x = 16.5
x = 16.5 / 1.8
x = 9.1666 = 9.2 hours
how would that be written in a proportion? or does it not need to be written if a proportion
16.5/x = 1.8/1
thank you!!
You're welcome.
To find out how many hours Benny studies each week, we need to use the given information that Charles studies 180% more than Benny.
Let's assume Benny studies x hours each week.
According to the given information, Charles studies 16.5 hours each week, which is 180% more than Benny's study time.
180% of x can be expressed as (180/100)x or 1.8x.
So, Charles' study time is x + 1.8x = 16.5 hours.
Combining like terms, we have 2.8x = 16.5.
To solve for x, we divide both sides of the equation by 2.8:
2.8x/2.8 = 16.5/2.8
x = 5.892857142857143
Rounding to the nearest tenth, Benny studies approximately 5.9 hours per week.