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.
Algebra and Trigonometry (6th Edition)
6th Edition
ISBN:9780134463216
Author:Robert F. Blitzer
Publisher:Robert F. Blitzer
ChapterP: Prerequisites: Fundamental Concepts Of Algebra
Section: Chapter Questions
Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
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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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