Mathematics

Question

There is sandwich meat in the refrigerator. There is 2 and 3/4 pounds of roast beef, 1 and 7/8 pounds of turkey, and 2 1/16 pounds of salami.
If you must put 1/4 of a pound of meat on sandwiches, how many whole sandwiches of each type can you make? there is 26 but how much is left

1 Answer

  • The amount of meat that is to be added to each sandwich is expressed as a fraction of a unit mass of one pound.

    First part

    • Number of roast beef sandwiches  are 11 sandwiches.
    • Number of turkey sandwiches are 7 sandwiches.
    • Number of salami sandwiches are 8 sandwiches.

    Second part

    • All the roast beef left are used
    • The amount of salami left is 0.0625 lb.
    • The amount of turkey left is 0.125 lb.

    Reasons:

    The amount of roast beef = 2  and 3/4 lb

    The amount of turkey = 1 and 7/8 pounds

    The quantity of salami = 2 1/16 pounds

    The amount of meat that goes with a sandwich = 1/4 pounds

    [tex]\displaystyle Sandwiches \ with \ roast \ beef = \mathbf{\frac{2 + \frac{3}{4} }{\frac{1}{4} }} = 11[/tex]

    The number of roast beef sandwiches that can be made = 11 sandwiches

    [tex]\displaystyle Sandwiches \ with \ turkey =\frac{1 + \frac{7}{8} }{\frac{1}{4} } = \mathbf{7.5}[/tex]

    The number of turkey sandwiches that can be made = 7 sandwiches

    [tex]\displaystyle Sandwiches \ with \ salami = \frac{2 + \frac{1}{16} }{\frac{1}{4} } = \mathbf{8.25}[/tex]

    The number of salami sandwiches that can be made = 8 sandwiches

    The total number of whole sandwiches = 11 + 7 + 8 = 26

    The total number of whole sandwiches that can be made = 26 sandwiches

    The amount of each meat left is given by the product of the fraction of a sandwich made by the meat and [tex]\displaystyle \mathbf{\frac{1}{4}}[/tex]

    Therefore;

    The amount of roast beef left = 0 × [tex]\displaystyle \frac{1}{4}[/tex] = 0

    [tex]\displaystyle The \ amount \ of \ turkey \ left = 0.5 \ lb \times \frac{1}{4} = \underline{0.125\ lb}[/tex]

    [tex]\displaystyle The \ amount \ of \ salami\ left = 0.25 \ lb \times \frac{1}{4} = \underline{0.0625 \ lb}[/tex]

    Learn more about fractions here:

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