On june 24, 1948, the former soviet union blocked all land and water routes through east germany to berlin. a gigantic airlift was organized using american and british planes to bring food, clothing, and other supplies to the more than 2 million people in west berlin. the cargo capacity was 30,000 cubic feet for an american plane and 20,000 cubic feet for a british plane. to break the soviet blockade, the western allies had to maximize cargo capacity, but were subject to the following restrictions: no more than 44 planes could be used. the larger american planes required 16 personnel per flight, double that of the requirement for the british planes. the total number of personnel available could not exceed 512. the cost of an american flight was $9000 and the cost of a british flight was $5000. total weekly costs could not exceed $300,000. find the number of american and british planes that were used to maximize cargo capacity.

Graph red beads cost $1 an ounce and gold beads cost $3 an ounce. juanita wants to purchase a 12-ounce mixture of red and gold beads that she can sell for $2 an ounce. the solution of the system shows the number of beads needed for juanita to break even. x + y = 12, x + 3y = 24 how many ounces of red beads will juanita buy to break even? how many ounces of gold beads will she buy?

You and three friends will be going out to eat at your favorite restaurant! each of you will order three items of your choice. you will also need to leave a tip. if you split the bill evenly among all four of you, how much will each person need to contribute? locate a menu for your favorite restaurant and pick three items for yourself and each friend. list the restaurant name, items, and prices in a table like the one below. in the column labeled subtotal, determine the cost of each person’s order. the customary tip is 20% of the total bill. in the column labeled tip, calculate the amount of tip each person should leave. in the column labeled total bill, determine the total of each person’s order, including the tip. restaurant name: names item 1 price item 2 price item 3 price subtotal tip total bill your name friend #1 friend #2 friend #3 part 2: questions answer the following questions, showing all work: what is the total cost of the entire bill (all four meals), including tip? write an expression using fractions to show how to determine the amount that each person will pay. then calculate each person's contributions showing all steps in long division. if each person paid an equal amount, who would save the most money? explain your reasoning using at least two complete sentences.

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