SOLUTION: Maria invests a total of $33,500 in two accounts paying 13% and 10% simple interest, respectively. How much was invested in each account if, after one year, the total interest was

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Question 1206116: Maria invests a total of $33,500 in two accounts paying 13% and 10% simple interest, respectively. How much was invested in each account if, after one year, the total interest was $3,860.00.
A) Enter an equation that uses the information as it is given that can be used to solve this problem. Use as your variable to represent the amount of money invested in the account paying 13% simple interest.
Equation:

B) The answers are:
$
was invested at 13% and
$
was invested at 10%.
Found 2 solutions by josgarithmetic, greenestamps:
Answer by josgarithmetic(39626) About Me  (Show Source):
You can put this solution on YOUR website!
Same thing asked many times just with a different example...

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Maria invests a total of $33,500 in two accounts paying 13% and 10% simple interest, respectively.
How much was invested in each account if, after one year, the total interest was $3,860.00.
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Maria invests a total of $T in two accounts paying V% and P% simple interest, respectively.
How much was invested in each account if, after one year, the total interest was $R.
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She invests x amount in account paying V%
and T-x amount in account paying P%.

highlight_green%28%28V%2F100%29x%2B%28P%2F100%29%28T-x%29=R%29
Vx%2BPT-Px=100R
%28V-P%29x=100R-PT
highlight_green%28x=%28100R-PT%29%2F%28V-P%29%29


T=33500
R=3860
P=10
V=13

x=%28100%2A3860-10%2A33500%29%2F%2813-10%29

x=%28386000-335000%29%2F3
x=17000

Put $17000 in the 13% account and put $16500 in the 10% rate account.

Answer by greenestamps(13203) About Me  (Show Source):
You can put this solution on YOUR website!


Per the instructions given with the problem....

x = amount paying 13% interest
33500-x = amount paying 10% interest

The total interest from the two investments was $3860:

ANSWER A): The equation is .13%28x%29%2B.10%2833500-x%29=3860

.13x%2B3350-.10x=3860
.03x=510
x=510%2F.03=17000

ANSWERS B):
amount invested at 13%: x = $17,000
amount invested at 10%: 33500-x = $16,500

CHECK: .13(17000)+.10(16500)=2210 + 1650 = 3860