Question
Last year, Mai had $10,000 to invest. She invested some of it in an account that paid 5% simple interest per year, and she invested the rest in an account that paid 10% simple interest per year. After one year, she received a total of $600 in interest. How much did she invest in each account?
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Answer to a math question Last year, Mai had $10,000 to invest. She invested some of it in an account that paid 5% simple interest per year, and she invested the rest in an account that paid 10% simple interest per year. After one year, she received a total of $600 in interest. How much did she invest in each account?
Maude
4.7106 Answers
1. Let \( x \) be the amount of money invested at 5%.
2. Let \( 10,000 - x \) be the amount of money invested at 10%.
We can set up the following equation for the total interest earned:
0.05x + 0.10(10,000 - x) = 600
3. Simplify and solve for \( x \):
0.05x + 1000 - 0.10x = 600
-0.05x + 1000 = 600
-0.05x = 600 - 1000
-0.05x = -400
x = \frac{-400}{-0.05}
x = 8000
4. Compute the amount invested at 10%:
10,000 - 8000 = 2000
so 8000 in 5% , 2000 in 10%
2. Let \( 10,000 - x \) be the amount of money invested at 10%.
We can set up the following equation for the total interest earned:
3. Simplify and solve for \( x \):
4. Compute the amount invested at 10%:
so 8000 in 5% , 2000 in 10%
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