Question

Greg and Heather each opened a savings account today. Greg opened his account with a starting amount of $330, and he is going to put in $75 per month. Heather opened her account with a starting amount of $660, and she is going to put in $45 per month.

Let x be the number of months after today.

Answer 1

Set up two equations:

Greg = 330 + 75X

Heather = 660 + 45x

Set them to equal and solve for x:

330 + 75x = 660 + 45x

Subtract 330 from both sides:

75x = 330 + 45x

Subtract 45x from both sides:

30x = 330

Divide both sides by 30:

x = 330 / 30

X = 11

11 months they will have the same amount saved.