A chef needs to prepare 175 chicken salad sandwiches, each requiring 3 oz cooked chicken. If a cooked 7 lb oven roaster yields 4 lb of cooked meat, how many roasters are needed?

A chef needs to prepare 175 chicken salad sandwiches, each requiring 3 oz cooked chicken. If a cooked 7 lb oven roaster yields 4 lb of cooked meat, how many roasters are needed?

• A. 8
• B. 4
• C. 9
• D. 5

Answer: (C)

To solve this, convert everything to consistent units and round up to cover the need. First find the total cooked chicken required: 175 sandwiches × 3 oz each = 525 oz. Convert to pounds: 525 oz ÷ 16 oz per lb = 32.8125 lb, which means you actually need 33 lb of cooked chicken to be safe. Each roaster yields 4 lb of cooked meat, so roasters needed = 33 lb ÷ 4 lb per roaster = 8.25. You can’t use a fraction of a roaster, so round up to 9 roasters. With 9 roasters, you’d have 9 × 4 lb = 36 lb available, which covers the 33 lb requirement. Therefore, nine roasters are needed.

To solve this, convert everything to consistent units and round up to cover the need.

First find the total cooked chicken required: 175 sandwiches × 3 oz each = 525 oz. Convert to pounds: 525 oz ÷ 16 oz per lb = 32.8125 lb, which means you actually need 33 lb of cooked chicken to be safe.

Each roaster yields 4 lb of cooked meat, so roasters needed = 33 lb ÷ 4 lb per roaster = 8.25. You can’t use a fraction of a roaster, so round up to 9 roasters. With 9 roasters, you’d have 9 × 4 lb = 36 lb available, which covers the 33 lb requirement. Therefore, nine roasters are needed.