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?
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.
