Question

Desi owes her landlord last month's rent and utilities. The total bill is $825. Utilities cost $575 less than rent. a) Let x represent the cost of b) Then represents the cost of c) Write an equation and find the cost of each. (Show your work).

Answer 1

From the given information

x represents the rental cost

y represents the utility cost

Cost of rent is $700

Cost of Utility is $125

Given :

The total bill is $825. Utilities cost $575 less than rent.

We need to find the cost of months rent and utilities cost

So lets assume variables for each

Let x represents the cost of rent

and y represents the utilities cost

Total bill is 825

$x+y=825$

Utilities cost $575 less than rent.

Utility cost $y=x-575$

Replace the second equation in first equation

$x+y=825\\x+x-575=825\\2x-575=825\\2x=825+575\\2x=1400\\x=700$

The cost of rent is $700

$y=x-575\\y=700-575\\y=125$

Utility cost is $125

The cost of rent is $700

Utility cost is $125

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