In Exercises 12-18, solve each problem. 12. Roses sell for $3 each and carnations for $1.50 each. If a mixed bouquet of 20 flowers consisting of roses and carnations costs $39, how many of each type of flower is in the bouquet? 13. You invested $15,000 in two funds paying 5% and 6% annual interest. At the end of the year, the total interest from these investments was $837. How much was invested at each rate? 14. The manager of a gardening center needs to mix a plant food that is 13% nitrogen with one that is 18% nitrogen to obtain 50 gallons of a plant food that is 16% nitrogen. How many gallons of each of the plant foods must be used? 15. With the current, you can row 9 miles in 2 hours. Against the current, your return trip takes 6 hours. Find your average rowing rate in still water and the average rate of the current. 16. You invested $8000 in two funds paying 2% and 5% annual interest. At the end of the year, the interest from the 5% investment exceeded the interest from the 2% investment by $85. How much money was invested at each rate? 17. Find the quadratic function y = ax + bx + c whose graph passes through the points (-1, 0), (1, 4), and (2, 3). 18. A coin collection contains a mixture of 26 coins in nickels, dimes, and quarters. The coins have a total value of $4.00. The number of quarters is 2 less than the number of nickels and dimes combined. Determine the number of nickels, the number of dimes, and the number of quarters in the collection.
In Exercises 12-18, solve each problem. 12. Roses sell for $3 each and carnations for $1.50 each. If a mixed bouquet of 20 flowers consisting of roses and carnations costs $39, how many of each type of flower is in the bouquet? 13. You invested $15,000 in two funds paying 5% and 6% annual interest. At the end of the year, the total interest from these investments was $837. How much was invested at each rate? 14. The manager of a gardening center needs to mix a plant food that is 13% nitrogen with one that is 18% nitrogen to obtain 50 gallons of a plant food that is 16% nitrogen. How many gallons of each of the plant foods must be used? 15. With the current, you can row 9 miles in 2 hours. Against the current, your return trip takes 6 hours. Find your average rowing rate in still water and the average rate of the current. 16. You invested $8000 in two funds paying 2% and 5% annual interest. At the end of the year, the interest from the 5% investment exceeded the interest from the 2% investment by $85. How much money was invested at each rate? 17. Find the quadratic function y = ax + bx + c whose graph passes through the points (-1, 0), (1, 4), and (2, 3). 18. A coin collection contains a mixture of 26 coins in nickels, dimes, and quarters. The coins have a total value of $4.00. The number of quarters is 2 less than the number of nickels and dimes combined. Determine the number of nickels, the number of dimes, and the number of quarters in the collection.
Chapter2: Equations And Inequalities
Section2.3: Models And Applications
Problem 18SE: For exercises 17 and 18, use this scenario: A retired woman has $50,000 to invest but needs to make...
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Transcribed Image Text:In Exercises 12-18, solve each problem.
12. Roses sell for $3 each and carnations for $1.50 each. If a mixed
bouquet of 20 flowers consisting of roses and carnations costs
$39, how many of each type of flower is in the bouquet?
13. You invested $15,000 in two funds paying 5% and 6% annual
interest. At the end of the year, the total interest from these
investments was $837. How much was invested at each
rate?
14. The manager of a gardening center needs to mix a plant food
that is 13% nitrogen with one that is 18% nitrogen to obtain
50 gallons of a plant food that is 16% nitrogen. How many
gallons of each of the plant foods must be used?
15. With the current, you can row 9 miles in 2 hours. Against
the current, your return trip takes 6 hours. Find your
average rowing rate in still water and the average rate of the
current.
16. You invested $8000 in two funds paying 2% and 5% annual
interest. At the end of the year, the interest from the 5%
investment exceeded the interest from the 2% investment by
$85. How much money was invested at each rate?
17. Find the quadratic function y = ax + bx + c whose
graph passes through the points (-1, 0), (1, 4), and (2, 3).
18. A coin collection contains a mixture of 26 coins in nickels,
dimes, and quarters. The coins have a total value of $4.00.
The number of quarters is 2 less than the number of nickels
and dimes combined. Determine the number of nickels,
the number of dimes, and the number of quarters in the
collection.
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