Anonymous Anonymous Asked 10mths ago. A college student earned $8900 during summer vacation working as a waiter in a popular restaurant. Part was invested at 10% simple interest and the remainder at 6% simple interest. At the end of one year, the student had earned$674 interest. How much was invested at 10%?

Question
Algebra foundations
A college student earned $8900 during summer vacation working as a waiter in a popular restaurant. Part was invested at 10% simple interest and the remainder at 6% simple interest. At the end of one year, the student had earned$674 interest. How much was invested at 10%?

2021-01-14
If x is invested at 6%, then $$\displaystyle{8900}−{x}$$ is invested at 10%.
The interest earned in one year is $674 so we can write: $$\displaystyle{0.06}{x}+{0.10}{\left({8900}−{x}\right)}={674}$$ Solve for x: $$\displaystyle{0.06}{x}+{890}−{0.10}{x}={674}$$ $$\displaystyle−{0.04}{x}+{89}={674}$$ $$\displaystyle−{0.04}{x}=−{216}$$ $$\displaystyle{x}={5400}$$ So, $$\displaystyle{8900}−{5400}=\{3500}$$ was invested at 10%. Relevant Questions asked 2021-06-08 part of$10,000 is invested at 11% simple interest account, the rest is at 14% simple interest account. If the annual income is $1,265, how much is invested at each rate? asked 2021-01-23 ED Wong has total of Tk.70,000 invested in a common stock, corporate bonds, and municipal bonds. In order to limit risk, he has twice as much invested in corporate bonds as in stock. Last years, the common stock paid a 2% dividend, the corporate bonds paid 10% interest, and the municipal bonds paid 6% interest. ED’s total income last year from his investments was in Tk.4,800. How much has he invested in bonds? asked 2021-05-11 Bethany needs to borrow $$10,000.$$ She can borrow the money at $$5.5\%$$ simple interest for 4 yr or she can borrow at $$5\%$$ with interest compounded continuously for 4 yr. a) How much total interest would Bethany pay at $$5.5\%$$ simple interest? b) How much total interest would Bethany pay at $$5%$$ interest compounded continuously? c) Which option results in less total interest? asked 2020-11-26 An executive invests$22,000, some at 7% and some at 6% annual interest. If he receives an annual return of $1,420, how much is invested at each rate? asked 2021-05-25 What are the future value and the interest earned if $$3000$$ is invested for 6 years at $$8\%$$ compounded quarterly? asked 2021-02-27 Vince worked 18 hours last week. Part of the time he worked in a fast-food restaurant and part of the time he worked tutoring a high school student in mathematics. He was paid$7.25 per hour working in the restaurant and $15 per hour tutoring. If he earned$161.50, how many hours did he work at each job?
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