3 variable system word problems.docx - 1 The sum of 3 numbers is 14 The largest is 4 times the smallest while the sum of the smallest and twice the

3 variable system word problems.docx - 1 The sum of 3...

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1. The sum of 3 numbers is 14. The largest is 4 times the smallest, while the sum of the smallest and twice the largest is 18. Find the numbers. Answer: 2 is the smallest number, 4 is the middle number and 8 is the largest number. 2. A landlord owns 3 condominiums, a 1-bedroom condo, a 2-bedroom condo, and a 3-bedroom condo. The total rent she receives is $1240. She needs to make repairs on the condos, and it costs 10% of the 1-bedroom condo’s rent for its repairs, 20% of the 2-bedroom for its repairs, and 30% of the 3-bedroom condo’s rent for its repairs. The total repair bill was $276. The 3- bedroom condo’s rent is twice the 1-bedroom condo’s rent. How much is the rent for all three condos? Answer: $280 is the 1-bedroom condo’s rent $400 is the 2-bedroom condo’s rent $560 is the 3 bedroom condo’s rent 3. Marina had $24,500 to invest. She divided the money into three different accounts. At the end of the year, she had made $1,300 in interest. The annual yield on each of the three accounts was 4%, 5.5%, and 6%.
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  • Fall '12
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