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Alice made some muffins for sale. 3/11 of the muffins were chocolate muffins and the

rest were strawberry muffins. She sold 2/3 of the chocolate muffins and 42 strawberry

muffins. She then had the same number of chocolate muffins and strawberry muffins

left.


(a)     Express the number of chocolate muffins sold as a fraction of the total number

         of muffins in its simplest form.

(b)     How many strawberry muffins did Alice make?

 Apr 29, 2022
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M==Total muffins

Chocolate muffins==3/11M

Strawberry muffins==1  -  3/11 ==8/11M

 

3/11M  -  [2/3 * 3/11M] ==8/11M -  42

3/11M - 2/11M == 8/11M  -  42

1/11M ==8/11M - 42

1/11M - 8/11M == - 42

- 7/11M == - 42

M ==42 / (7/11) ==42 x 11 / 7==66 - total number of muffins she made

 

66  x  3/11 ==18 muffins were chocolates.

18  x  2/3 == 12 chocolates muffins were sold.

(a) - 66  -  18 == 48 muffins were strawberry.

[48  -  42] ==6 strawberry muffins left

[18  -  12] == 6 chocolate muffins left. 

 

[12  +  42]==54 muffins were sold

(b) - 54 / 66 == 9 / 11 - ratio of muffins sold to total muffins.

 Apr 30, 2022

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