Question

A delicatessen delivers a gigantic sandwich for the members of a jury who have been unable to reach a verdict. If each member of the jury eats a pound of sandwich, receives 30 g of protein, and pays $1.50, how much of each ingredient went into the sandwich?

Answer 1

The gigantic sandwich delivered to the members of the jury consisted of 12 pounds of sandwich meat, 360 grams of protein, and cost a total of $18.

Step-by-step explanation:

In order to calculate the amount of each ingredient in the sandwich, we can start by determining the total protein content. Each of the 12 members of the jury received 30 grams of protein, so multiplying this by the number of members gives us a total protein content of 360 grams.

Next, we can calculate the total weight of the sandwich by using the protein-to-weight ratio. If each pound of sandwich contains 30 grams of protein, then the total weight (W) of the sandwich can be found using the formula:
`\( W = (Total\ Protein)/(Protein\ per\ pound) \).`

Substituting the values, we get
`\( W = (360\ g)/(30\ g/pound) = 12\ pounds \).`

Finally, to find the cost of the sandwich, we can use the cost per pound. If each member paid $1.50 for their pound of sandwich, then the total cost (C) can be calculated as
`\( C = Total\ Weight * Cost\ per\ pound \), which is \( C = 12\ pounds * $1.50/pound = $18 \).`

Therefore, the final answer is that the gigantic sandwich comprised 12 pounds of sandwich meat, provided 360 grams of protein, and had a total cost of $18.