The equation f=v+at represents the final velocity of an qbject, f, with an initial velicity, v, and an acceleration rate, a, ove
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The greatest number of sandwiches that Olivia can make is 12.
3 slices of cheese will be on each sandwich
<u>Solution:</u>
Given that, Olivia has 48 slices of ham and 36 slices of cheese to make sandwiches.
We have to find what is the greatest number of sandwiches that Olivia can make? And how many slices of cheese will be on each sandwich?
Let the number of sandwiches be "n"
Then, number of slices of ham per sandwich
And, number of slices of cheese per sandwich
As slices can’t be fractions, "n" should be a factor of 48 and 36. So now let us find H.C.F of 48 and 36 as we want greatest number of sandwiches that Olivia can make.
The factors of 48 are: 1, 2, 3, 4, 6, 8, 12, 16, 24, and 48
The factors of 36 are: 1, 2, 3, 4, 6, 9, 12, 18, and 36
The common factors are those which appear on both factors of 48 and 36 are 1, 2, 4, 6, and 12.
Out of these common factors, 12 is the greatest
So, H.C.F of 48 and 36 is 12, which means n = 12
Then, number of cheese slices per sandwich
Hence, 12 sandwiches can be made with 3 slices of cheese per sandwich.
To answer this question we can propose the following equation:
Where:
x is the number of weeks elapsed.
d is the debt depending on the weeks.
Robert promised to pay at least $ 67 each week.
Therefore, after 5 weeks the debt of rober should be:
Then scenario A) is possible because .
After 6 weeks:
Then scenario B) is possible because .
After 7 weeks
Then scenario C) is possible because .
After 8 weeks
So scenario D) is NOT possible because
Finally the correct answer is option D.