### Home > CC3MN > Chapter 8 > Lesson 8.3.1 > Problem8-131

8-131.

Daniella has $210$ in the bank, and her balance is growing at a rate of $\3$ each month. Lori has $187$ in the bank, but her balance is growing at a rate of $4.50$ each month. Write a system of equations to find when the girls will have the same amount of money. Be sure to define your variables.

Write two equations, one for Daniella and one for Lori,
where $x =$ the number of months.

To find when the girls will have the same amount of money, set the two equations equal to each other.
$210 + 3x = 187 + 4.5x$

Daniella: $y = 210 + 3x$
Lori: $y = 187 + 4.5x$

$15\frac{1}{3}$

Be sure to know how to get this answer.