Solve the problem.
-A deli sells three sizes of chicken sandwiches: the small chicken sandwich contains 4 ounces of meat and sells for $3.00; the regular chicken sandwich contains 8 ounces of meat and sells for $3.50; and the large chicken sandwich contains 10 ounces of meat and sells for $4.00. A customer requests a selection of each size for a reception. She and the manager agree on a combination of 52 sandwiches made from 22 pounds 4 ounces of chicken for a total cost of $178. How many of each size sandwich will be in this combination? (Note: 1 pound = 16 ounces)
A)24 small sandwiches, 10 medium sandwiches, 18 large sandwiches.
B)20 small sandwiches, 22 medium sandwiches, 10 large sandwiches.
C)22 small sandwiches, 16 medium sandwiches, 14 large sandwiches.
D)18 small sandwiches, 12 medium sandwiches, 22 large sandwiches.

Question

Quizplus · Accepted Answer

The total weight in ounces is 22 pounds 4 ounces = (22 * 16) + 4 = 356 ounces. Let x, y, z represent the number of small, regular, and large sandwiches, respectively. We have three equations: 4x + 8y + 10z = 356 (total meat), x + y + z = 52 (total sandwiches), and 3x + 3.5y + 4z = 178 (total cost). Solving these equations gives us x = 22, y = 16, z = 14.

Solve the Problem. -A Deli Sells Three Sizes of Chicken Sandwiches: the Small