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Tems11 [23]
2 years ago
5

Each week, Mrs.Mack buys exactly 3 5/8 pounds of cheese for her mac-and-cheese recipe. She chooses from these kinds of cheese. M

rs.Mack buys as many packages as she needs— up to three packages of any kind. What packages of cheese (and how many of each kind) does Mrs.Mack buy? 7/8pounds of american cheese. 0.5 pounds of cheddar cheese. 0.2 pounds of swiss cheese. HELP PLEASE
Mathematics
1 answer:
ryzh [129]2 years ago
7 0

9514 1404 393

Answer:

  • 3 packages of American (7/8 lb)
  • 2 packages of cheddar (1/2 lb)

Step-by-step explanation:

The amount of cheese Mrs Mack needs is an odd number of eighths of a pound. So, she must buy an odd number of the 7/8 pound packages.

If she were to buy any 1/5 pound packages, she would have to buy a multiple of 5 of them so as to have an integral number of eighths. The only suitable multiple is 0.

If Mrs Mack buys 1 of the 7/8 pound packages, she cannot make up the difference with half-pound packages. She must buy 3 of the 7/8 pound packages, for a total of 2 5/8 pounds of American cheese. The remaining pound can be bought as 2 of the 1/2 pound packages.

To buy 3 5/8 pounds, Mrs Mack must purchase ...

  3 packages of American cheese (7/8 lb each)

  2 packages of Cheddar cheese (1/2 lb each)

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