Three friends decide to rent an apartment and split the cost evenly. they each paid $640 towards the total move in cost of first and last month's rent and a security deposit. if rent is $650 per month, how much was the security deposit? a. $10 b. $207 c. $620 d. $1,270

c. $ 620

Step-by-step explanation:

Given,

Number of friends = 3,

Rent of apartment for a month = $ 650,

So, the total rent for 2 months ( First and last ) = 2 × 650 = $ 1300

Let x be the amount of security they paid,

⇒ Total money paid by them = 1300 + x,

According to the question,

They each paid $ 640,

⇒ Total money paid by them = 3 × 640 = $ 1920

⇒ 1300 + x = 1920

⇒ x = 1920 - 1300 = 620,

Hence, the amount of security deposit was $ 620.

the system of inequalities is

step-by-step explanation:

step 1

find the equation of the dashed line

we have the points

(0,0) and (3,1)

the line passes through the origin, so, is a direct variation

find the slope

the equation of the dashed line is

the solution of the inequality a s the shaded area above the dashed line

therefore

the equation of the inequality a is

step 2

find the equation of the solid line

we have the points

(4,0) and (0,4)

find the slope

the equation of the solid line is

the solution of the inequality b s the shaded area below the solid line

therefore

the equation of the inequality b is

step 3

the system of inequalities is