Answer:930 Hope this Helps :D
Step-by-step explanation:
For the given problem:
Let the balances of the saving accounts be (x) and (y)
Leah has two savings accounts with balances totaling $8,000
so,
x+y=8000 (1)
She withdrew 15% from one and 40% from the other. If she has $6,350 remaining in the accounts
So, The remaining from the accounts will be (1 - 15%) and ( 1 - 40%)
that will give the decimals: 0.85 and 0.6
so, we can write the following equation:
0.85x+0.6y=6350 (2)
Now, solve the equations (1) and (2) to find (x) and (y)
From equation (1)
y=8000-x (3)
Substitute with (y) from equation (3) into equation (2)
0.85x+0.6*(8000)-x =6350
Now solve the equation
0.85x+0.6*8000-0.6x=6350
0.85x-0.6+4800+6350
0.25x=6350-4800
0.25x=1550
x=6200
Substitute with (x) into equation (3) to find (y)
y=8000-6200=1800
So, the larger account = x = 6200
and the smaller account = y = 1800
Now, we will answer the question, how much money did she withdraw from the account with the larger balance?
so, the answer will be: 15% of x = 0.15 * 6200 = 930
So, the answer will be $930
