There are 95 toys to be given out to a group of children. A ball costs $2, a doll costs $3, and a car costs $4. A total of $280 was spent on the toys. a) A ball weighs 11 oz, a doll 15 oz, and a car 16 oz. The total weight of all the toys is 1354 oz. Determine the number of each type of toy purchased. There were 22 ball(s), 56 doll(s), and 17 car(s). b) Now suppose the weight of a ball, doll, and car are 11, 17, and 23 oz, respectively. If the total weight is still 1354 oz, how many solutions are there? Select the correct choice below and, if necessary, fill in the answer box to complete your choice. OA. There are solution(s). B. There is no solution. c) Keep the weights as in part b, but change the total weight to 1585 oz. How many solutions are there? Select the correct choice below and, if necessary, fill in the answer box to complete your choice. solution(s). OA. There are OB. There is no solution.
There are 95 toys to be given out to a group of children. A ball costs $2, a doll costs $3, and a car costs $4. A total of $280 was spent on the toys. a) A ball weighs 11 oz, a doll 15 oz, and a car 16 oz. The total weight of all the toys is 1354 oz. Determine the number of each type of toy purchased. There were 22 ball(s), 56 doll(s), and 17 car(s). b) Now suppose the weight of a ball, doll, and car are 11, 17, and 23 oz, respectively. If the total weight is still 1354 oz, how many solutions are there? Select the correct choice below and, if necessary, fill in the answer box to complete your choice. OA. There are solution(s). B. There is no solution. c) Keep the weights as in part b, but change the total weight to 1585 oz. How many solutions are there? Select the correct choice below and, if necessary, fill in the answer box to complete your choice. solution(s). OA. There are OB. There is no solution.
Chapter9: Sequences, Probability And Counting Theory
Section: Chapter Questions
Problem 16PT: In a competition of 50 professional ballroom dancers, 22 compete in the fox-trot competition, 18...
Related questions
Question
Transcribed Image Text:=
There are 95 toys to be given out to a group of children. A ball costs $2, a doll costs $3, and a car costs $4. A total of $280 was spent on the toys.
a) A ball weighs 11 oz, a doll 15 oz, and a car 16 oz. The total weight of all the toys is 1354 oz. Determine the number of each type of toy purchased.
There were 22 ball(s), 56 doll(s), and 17 car(s).
b) Now suppose the weight of a ball, doll, and car are 11, 17, and 23 oz, respectively. If the total weight is still 1354 oz, how many solutions are there?
Select the correct choice below and, if necessary, fill in the answer box to complete your choice.
OA. There are
solution(s).
B. There is no solution.
c) Keep the weights as in part b, but change the total weight to 1585 oz. How many solutions are there?
Select the correct choice below and, if necessary, fill in the answer box to complete your choice.
OA. There are
OB. There is no solution.
solution(s).
Expert Solution
This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
Step by step
Solved in 3 steps with 3 images
Recommended textbooks for you
Elementary Geometry For College Students, 7e
Geometry
ISBN:
9781337614085
Author:
Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:
Cengage,
Algebra: Structure And Method, Book 1
Algebra
ISBN:
9780395977224
Author:
Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Publisher:
McDougal Littell
Elementary Geometry For College Students, 7e
Geometry
ISBN:
9781337614085
Author:
Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:
Cengage,
Algebra: Structure And Method, Book 1
Algebra
ISBN:
9780395977224
Author:
Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Publisher:
McDougal Littell
Elementary Algebra
Algebra
ISBN:
9780998625713
Author:
Lynn Marecek, MaryAnne Anthony-Smith
Publisher:
OpenStax - Rice University
College Algebra (MindTap Course List)
Algebra
ISBN:
9781305652231
Author:
R. David Gustafson, Jeff Hughes
Publisher:
Cengage Learning