The chef needs to make 175 chicken salad sandwiches. Each sandwich requires 3 oz of cooked chicken. A cooked 7 lb oven roaster yields an average of 4 lbs of cooked meat. How many roasters must the chef purchase to yield enough chicken for the salad?

The chef needs to make 175 chicken salad sandwiches. Each sandwich requires 3 oz of cooked chicken. A cooked 7 lb oven roaster yields an average of 4 lbs of cooked meat. How many roasters must the chef purchase to yield enough chicken for the salad?

• A. 9
• B. 8
• C. 4
• D. 5

Answer: (A)

Unit conversion and rounding up to whole units are what this problem tests. First, total cooked chicken needed is 175 sandwiches × 3 oz = 525 oz. Convert to pounds: 525 oz ÷ 16 = 32.8125 lb. Each roaster yields 4 lb of cooked meat, so roasters required = 32.8125 ÷ 4 = 8.203125. Since you can’t buy a fraction of a roaster, round up to 9 roasters. If you bought only 8, you’d have 32 lb, which is short by about 0.8125 lb (roughly 13 oz), not enough for the 525 oz needed.

Unit conversion and rounding up to whole units are what this problem tests. First, total cooked chicken needed is 175 sandwiches × 3 oz = 525 oz. Convert to pounds: 525 oz ÷ 16 = 32.8125 lb. Each roaster yields 4 lb of cooked meat, so roasters required = 32.8125 ÷ 4 = 8.203125. Since you can’t buy a fraction of a roaster, round up to 9 roasters. If you bought only 8, you’d have 32 lb, which is short by about 0.8125 lb (roughly 13 oz), not enough for the 525 oz needed.