Answer:
In the 6% account, 13,000 was deposited
In the 10% account, 20,000 was deposited
Step-by-step explanation:
Here, we are interested in calculating how much invested in each account
.
Let the amount invested be $x and $y
Mathematically;
x + y = 33,000 ••••(i)
Now let’s work with interest
6% of x + 10% of y = 2780
6/100 * x + 10/100 * y = 2780
Multiply through by 100
6x + 10y = 278000 •••••••••(ii)
From i, x = 33,000 -y
Put this into ii
6(33,000 -y) + 10y = 278000
198,000-6y + 10y = 278000
4y = 80000
y = 80,000/4 = 20,000
But x = 33,000 -y = 33,000 -20,000 = 13,000
