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.
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
