Respuesta :

Given

Starting amount of Ivanna = $180

put per month = $70

Starting amount of Brian = 0

put per month = $100

Find

Amount of money in Ivanna's account

the amount of money in Brian's account

equation to show when the two accounts have the same amount of money

Explanation

Let x be the number of months after today.

so, according to the question ,

Amount of money in Ivanna's account = starting amount + amount per month.

so , 180 + 70x

amount of money in Brian's account = 0 + 100x = 100x

equation to show when the two accounts have same amount of money =

[tex]180+70x=110x[/tex]

so ,

[tex]\begin{gathered} 180=110x-70x \\ 180=40x \\ x=4.5 \end{gathered}[/tex]

so , in 4.5 months both have same money

Final Answer

Hence ,

Amount of money in Ivanna's account = 180 + 70x

Amount of money in Brian's account = 110x

Equation to show when the two accounts have same amount of money =

[tex]180+70x=110x[/tex]