Age and Investment Problems

Mrs. Fox invested $7500. Part of her money went into a 6% investment and the rest went into an 8% investment. Find the amount she invested at 8% if the total yearly income is $590.

Mr. Hawgood invested a sum of money. Half his money went into a 5% bond, a third of his money went into a 6% bond, and the rest went into a 3% bond. His total annual income was $300. How much did he invest in all?

Mr. Ellison invested a sum of money at 6%. He invested $200 more than this sum at 4%. If the annual incomes from both investments were the same, how much did he invest in the 4% account?

Mrs. Lamm invested $7500 in two businesses. The first business made a 5% profit, and the other had a 2% loss. Her net profit for the year was $130. Find the amount invested in the 2% account.

Mr. Fullwood invested $6000, part at 8% and the rest at 7%. The income from the 8% investment exceeded twice the income from the 7% investment by $40. How much did he invest at 8%?

Justin is now 3 times as old as Arthur. In 10 years, Justin will be twice as old as Arthur will be then. How old is Justin now?

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CCSS.8.EE.C.8C

Selma is now 3 times as old as Joyce. Four years ago, Selma was 4 times as old was Joyce was then. How old is Selma now?

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CCSS.8.EE.C.8C

Mrs. Sanford is three times as old as Mrs. Fox. Eight years from now, Mrs. Sanford’s age will exceed twice Mrs. Fox’s age at that time by 14 years. How old is Mrs. Fox now?

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CCSS.8.EE.C.8C

The sum of Ed’s age and Eric’s age is 60. Ed’s age 5 years from now will exceed twice Eric’s age 8 years ago by 6. How old is Eric now?

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CCSS.8.EE.C.8C

Amanda is 23 years old and Ginny is 15 years old. How many years ago was Amanda three times as old as Ginny was then?

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CCSS.8.EE.C.7B