SOLUTION: delila has $1200 in a savings accountant and in a checking account. the ratio of money in savings to money in checking is 3 to 2. use a system of equations to find how much money i

Question 825604: delila has $1200 in a savings accountant and in a checking account. the ratio of money in savings to money in checking is 3 to 2. use a system of equations to find how much money is in each account.

Answer by math-vortex(648) (Show Source): You can put this solution on YOUR website!

Hi, there--

THE PROBLEM:
Delilah has a total of $1200 in a savings account and in a checking account. The ratio of 
money in savings to money in checking is 3 to 2. Use a system of equations to find how 
much money is in each account. 

A SOLUTION:

Define two variables.
Let c be the amount of money in Delilah's checking account (in dollars)
Let s be the amount of money in Delilah's savings account (in dollars)

Write two equations modeling the situation.

"Delilah has a total of $1200 in a savings account and in a checking account" translates to


"The ratio of money in savings to money in checking is 3 to 2."


Now solve the system of equations for c and s.

Rearrange the first equation to "c=" form.


Substitute 1200-s for c in the second equation.


Solve for s.





In the context of this problem, s=720 means Delilah has $720 in her savings account. This 
implies that she has $480 (1200-720=480) in her checking account.

We want to check that this ratio of money in savings to money is checking is indeed 3 to 2.
We scale down by a factor of 240. 




CHECK!

Hope this helps!
Mrs. Figgy
math.in.the.vortex@gmail.com

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