Answer: Hello there!
The things that we know are:
Before, The ratio of the amount of money in Jeanette's saving account to the amount of money in her checking account, and now is 4:3.
We also know that before, she had $963 in her checking account.
because before the ratio was 1:6, this means that she also had a sixth of that amount in her saving account, or: (1/6)*$963 = $160.50 in her saving account.
This adds to a total of: $963 + $160.50 = $1123.50
now we know that the ratio is 4:3, if we call x to the amount that she has in her saving acount, and y to the amount that she has in her checking acount, then, this ratio says:
4y = 3x
we also know that x + y = total amount of money = $1123.50
so we can isolate y in this second equation: y = ($1123.50 - x) and replace it in the first equation:
4y = 3x
4*($1123.50 - x) = 3x
-4x + $4494 = 3x
7x = $4494
x = $4494/7 = $642
So she has 642 dollars in her saving acount, and as we know;
y + $642 = $1123.50
y = $1123.50 - $642 = $481.50
So she has 481.50 dollars in her checking account.
