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]