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?

Guest Apr 29, 2022

#1**0 **

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.**

Guest Apr 30, 2022