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.