If my rent is 2795 a month, i agree to pay 75 more than my roommate how much do i owe and how much does my roommate owe

The rent owe by me is Rs 1435

The rent owe by roommate is Rs 1360

Step-by-step explanation:

Given as :

The total rent of the room = x = Rs 2795

Let The room rent pay by friend = Rs y

And The room rent pay by me = Rs z

Now, According to question

The room rent pay by me = Rs 75 + room rent pay by roommate

i,e Rs z = Rs 75 + Rs y

Now, Again

The total rent of the room = The room rent pay by me + room rent pay by roommate

Or, x = Rs z + Rs y

Or, Rs 2795 = (Rs 75 + Rs y) + Rs y

Or, 2795 = 75 + 2 y

Or, 2 y = 2795 - 75

Or, 2 y = 2720

∴  y =

i.e y = Rs 1360

So, room rent pay by friend = y = Rs 1360

And,The room rent pay by me = Rs 75 + room rent pay by roommate

Or,The room rent pay by me = Rs 75 + Rs 1360

So,he room rent pay by me = Rs 1435

Hence,The rent owe by me is Rs 1435

And ,The rent owe by roommate is Rs 1360    Answer

Option 2: 178.98 square feet

Step-by-step explanation:

The inner circular garden is surrounded by 3 feet wide path so in order to find the area of the path we have to calculate the area of inner circular garden and the area of garden with the outer wide path.

The radius of inner garden = r_1 = 8 feet

The radius of garden and path combined= r_2= 8+3= 11 feet

Area of inner garden: A_1:

A_1= πr_1^2

= 3.14 * (8)^2

=3.14 * 64

=200.96 square feet

Area of path and garden combined: A_2:

A_2= πr_2^2

= 3.14 * (11)^2

= 3.14 * 121

=379.94 square feet

In order to find the area of the path, we have to subtract the area of inner garden from the area of path and garden combined. That is:

A_2 - A_1

= 379.94 - 200.96

= 178.98 square feet

So the area of the path is 178.98 square feet. Hence, option 2 is the correct answer ..