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

Answer: 15 1/3 months

Step-by-step explanation:

Daniella has $210 in the bank, and her balance grows at a rate of $3 each month. This can be written as:

b = 3m + 210 ... equation i

Lori has $187 in the bank and her balance grows at a rate of $4.50 each month. This can be written as:

b = 4.5m + 187 ... equation ii

Combine both equations

b = 3m + 210

b = 4.5m + 187

3m + 210 = 4.5m + 187

4.5m - 3m = 210 - 187

1.5m = 23

m = 23/1.5

m = 15 1/3 months