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Cody's rent is increasing by $51 per month starting next year. That is an increase of 15% from his current monthly rent. Let r represent Cody's current rent. Set up an equation and solve it to find the value of r.

Sagot :

MrRoyalidn

Answer:

[tex]r = 43.35[/tex]

Step-by-step explanation:

Given

[tex]Current\ Rent = r[/tex]

[tex]Increment = 15\%[/tex]

[tex]New\ Rent = \$51[/tex]

Required

Determine the value of r

The value of r can be set up percentage increase formula as follows:

[tex]\%Increment = \frac{New\ Rent - Current\ Rent}{Current\ Rent}[/tex]

Substitute values in the above equation

[tex]15\% = \frac{51 - r}{51}[/tex]

Cross Multiply

[tex]51 - r = 15\% * 51[/tex]

Convert percentage to decimal

[tex]51 - r = 0.15 * 51[/tex]

[tex]51 - r = 7.65[/tex]

And the value of [tex]r\ is\ calculated\ using:[/tex]

[tex]r = 51 -7.65[/tex]

[tex]r = 43.35[/tex]

Hence, Cody's current rent is $43.35 monthly

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