Hughie's Hoagies makes three kinds of hoagies using bread, turkey, and cheese. A jumbo turkey hoagie uses 9 inches of bread, 5 ounce(s) of turkey, and 3 slices of cheese; a regular turkey hoagie uses 3.5 inches of bread, 2 ounce(s) of turkey, and 1.5 slice(s) of cheese; and a kid's hoagie uses 2 inches of bread, 1 ounce(s) of turkey, and 1 slice(s) of cheese; Assume also that the shop has on hand 34.5 feet of bread, 14.25 pounds of turkey, and 8.1 pounds of cheese. Assume that there are 20 slices in each pound of cheese; there are 12 inches in a foot, and 16 ounces in a pound. How many of each type of sandwich should Hughie make to use up all of these ingredients? When you setup a system of linear equations to solve this problem, how many variables and how many equations should you have.? Number of variables: 3 Number of equations: 3 - Part 2 Let x be the number of jumbo sandwiches, y be the number of regular sandwiches, and z be the number of kids' sandwiches. Formulate the system of linear equations that you must solve: bread used (in inches): 出x+ 出 y+ Z = turkey used (in ounces): 出x+ y+ z = cheese used (in slices): 出 x+ y+ Z = 出|曲」曲 曲曲|曲
Hughie's Hoagies makes three kinds of hoagies using bread, turkey, and cheese. A jumbo turkey hoagie uses 9 inches of bread, 5 ounce(s) of turkey, and 3 slices of cheese; a regular turkey hoagie uses 3.5 inches of bread, 2 ounce(s) of turkey, and 1.5 slice(s) of cheese; and a kid's hoagie uses 2 inches of bread, 1 ounce(s) of turkey, and 1 slice(s) of cheese; Assume also that the shop has on hand 34.5 feet of bread, 14.25 pounds of turkey, and 8.1 pounds of cheese. Assume that there are 20 slices in each pound of cheese; there are 12 inches in a foot, and 16 ounces in a pound. How many of each type of sandwich should Hughie make to use up all of these ingredients? When you setup a system of linear equations to solve this problem, how many variables and how many equations should you have.? Number of variables: 3 Number of equations: 3 - Part 2 Let x be the number of jumbo sandwiches, y be the number of regular sandwiches, and z be the number of kids' sandwiches. Formulate the system of linear equations that you must solve: bread used (in inches): 出x+ 出 y+ Z = turkey used (in ounces): 出x+ y+ z = cheese used (in slices): 出 x+ y+ Z = 出|曲」曲 曲曲|曲
Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter2: Systems Of Linear Equations
Section2.4: Applications
Problem 3EQ: A florist offers three sizes of flower arrangements containing roses, daisies, and chrysanthemums....
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Please explain and show steps for part 2. Solve for each variable as well please.
Expert Solution
Step 1
We need to form three equations and the first equation should be equal to the total amount of bread available, the second should equal to the amount of turkey used and the third should be equal to the amount of cheese used.
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