A recipe requires 1¾ cups quick-cooking tapioca. Tapioca is sold in twelve 8-ounce boxes per case for $41.88. Three cups weigh 1 lb. What is the recipe cost for tapioca?

A recipe requires 1¾ cups quick-cooking tapioca. Tapioca is sold in twelve 8-ounce boxes per case for $41.88. Three cups weigh 1 lb. What is the recipe cost for tapioca?

• A. 2.33
• B. 4.07
• C. 5.24
• D. 6.98

Answer: (B)

Pricing is based on weight, so convert the case price to a price per pound, then convert the required cups to pounds using the given weight relation, and multiply. The case contains twelve boxes of 8 ounces each, so total weight is 12 × 8 = 96 ounces, which is 96/16 = 6 pounds. The price per pound is 41.88 ÷ 6 = 6.98. Three cups weigh 1 pound, so one cup weighs 1/3 pound. For 1¾ cups (1.75 cups), the weight is 1.75 ÷ 3 = 7/12 pound ≈ 0.5833 lb. Cost = weight × price per pound = (7/12) × 6.98 ≈ 4.0717, which rounds to $4.07. Therefore, the recipe cost for tapioca is about $4.07.

Pricing is based on weight, so convert the case price to a price per pound, then convert the required cups to pounds using the given weight relation, and multiply.

The case contains twelve boxes of 8 ounces each, so total weight is 12 × 8 = 96 ounces, which is 96/16 = 6 pounds. The price per pound is 41.88 ÷ 6 = 6.98.

Three cups weigh 1 pound, so one cup weighs 1/3 pound. For 1¾ cups (1.75 cups), the weight is 1.75 ÷ 3 = 7/12 pound ≈ 0.5833 lb.

Cost = weight × price per pound = (7/12) × 6.98 ≈ 4.0717, which rounds to $4.07.

Therefore, the recipe cost for tapioca is about $4.07.