Number of Coins A piggy bank contains 50 coins, all ofthem nickels, dimes, or quarters. The total value of the coinsis $5.60, and the value of the dimes is five times the value ofthe nickels. How many coins of each type are there?

Given: A piggy bank contains 50 coins, all of them nickels, dimes, or quarters. The total value of…

Answered: Number of Coins A piggy bank contains…

Algebra and Trigonometry (MindTap Course List)

4th Edition

ISBN:9781305071742

Author:James Stewart, Lothar Redlin, Saleem Watson

Publisher:James Stewart, Lothar Redlin, Saleem Watson

Chapter10: Systems Of Equations And Inequalities

Section10.CR: Chapter Review

Problem 27E

See similar textbooks

Similar questions

APPLICATIONS AgricultureA farmer has 1200 acres of land on which he grows corn, wheat, and soybeans. It costs 45 per acre to grow corn, 60 to grow wheat, and 50 to grow soybeans. Because of market demand, the farmer will grow twice as many acres of wheat as of corn. He has allocated 63,750 for the cost of growing his crops. How many acres of each crop should he plant.
Value of coin A man has 14 coins in his pocket, All of which are dimes and quarters .IF the total value of his changes $2.75, how many dimes and how many quarters does he have?
Chemistry A chemist needs 10 liters of a 25 acid solution. The solution is to be mixed from three solutions whose concentrations are 10,20,and50. How many liters of each solution will satisfy each condition? (a) Use 2 liters of the 50 solution. (b) Use as little as possible of the 50 solution. (c) Use as much as possible of the 50 solution.
Maximum weight on a boat In 2004, a water taxi sank in Baltimore harbor and five people drowned. The water taxi had a maximum capacity of 3,500 pounds (25 people with average weight 140 pounds). The average weight of the 25 people on the water taxi when it sank was 168 pounds per person. What should the maximum number of people of this weight have been?
Nutrition A doctor recommends that a patient take 50 mg each of niacin, riboflavin, and thiamin daily to alleviate a vitamin deficiency. In his medicine chest at home the patient finds three brands of vitamin pills. The amounts of the relevant vitamins per pill are given in the table. How many pills of each type should he take every day to get 50 mg of each vitamin?
Investment An amount of $46,000 is divided among three investments yielding $3020 in interest per year. The interest rates for the three investments are 5,7,and8 simple interest. Find the amount placed in each investment when the second and third amounts are $2000 and $3000 less than the first, respectively.
Mixing Feed A milling company wants to mix alfalfa which contain 20 protein, and wheat mids,38 which contains 15 protein, to make cattle feed. a. If you make a mixture of 30 pounds of alfalfa and 40 pounds of wheat mids, how many pounds of protein are in the mixture Hint: In the 30 pounds of alfalfa, there are 300.2=6 pounds of protein. b. Write a formula that gives the amount of protein in a mixture of a pounds of alfalfa and w pounds of wheat mids. c. Suppose the milling company wants to make 1000 pounds of cattle feed that contains 17 protein. How many pounds of alfalfa and how many pounds of wheat mids must be used?

Recommended textbooks for you

Algebra and Trigonometry (MindTap Course List)

Algebra

ISBN:

9781305071742

Author:

James Stewart, Lothar Redlin, Saleem Watson

Publisher:

Cengage Learning

College Algebra

Algebra

ISBN:

9781305115545

Author:

James Stewart, Lothar Redlin, Saleem Watson

Publisher:

Cengage Learning

Holt Mcdougal Larson Pre-algebra: Student Edition…

Algebra

ISBN:

9780547587776

Author:

HOLT MCDOUGAL

Publisher:

HOLT MCDOUGAL

Algebra and Trigonometry (MindTap Course List)

Algebra

ISBN:

9781305071742

Author:

James Stewart, Lothar Redlin, Saleem Watson

Publisher:

Cengage Learning

College Algebra

Algebra

ISBN:

9781305115545

Author:

James Stewart, Lothar Redlin, Saleem Watson

Publisher:

Cengage Learning

Holt Mcdougal Larson Pre-algebra: Student Edition…

Algebra

ISBN:

9780547587776

Author:

HOLT MCDOUGAL

Publisher:

HOLT MCDOUGAL

College Algebra

Algebra

ISBN:

9781337282291

Author:

Ron Larson

Publisher:

Cengage Learning

Algebra & Trigonometry with Analytic Geometry

Algebra

ISBN:

9781133382119

Author:

Swokowski

Publisher:

Cengage

Intermediate Algebra

Algebra

ISBN:

9780998625720

Author:

Lynn Marecek

Publisher:

OpenStax College

SEE MORE TEXTBOOKS

Number of Coins A piggy bank contains 50 coins, all of them nickels, dimes, or quarters. The total value of the coins is $5.60, and the value of the dimes is five times the value of the nickels. How many coins of each type are there?