Gabby made muffins for sale. 45% of the muffins were egg muffins and the rest were lotus paste and mushroom muffins in the ratio 3 : 2. If a customer bought 60% of the egg muffins and all of the mushroom muffins, what percentage of the lotus paste muffins must Gabby sell for her to maintain the original percentage of egg muffins at first? Leave your answer in decimals and correct to 1 decimal place.
Egg muffins |
Lotus paste muffins |
Mushroom muffins |
9 u |
11 u |
|
6.6 u |
4.4 u |
|
Egg muffins |
Lotus paste muffins |
Mushroom muffins |
Total muffins |
Before |
9 u |
6.6 u |
4.4 u |
20 u |
Change |
- 5.4 u |
- 2.2 u |
- 4.4 u |
|
After |
3.6 u |
4.4 u |
0 |
8 u |
45% =
45100 =
92060% =
60100 =
35 Total number of muffins = 20 u
Number of lotus paste and mushroom muffins
= 20 u - 9 u
= 11 u
Number of lotus paste muffins at first
=
35 x 11 u
= 6.6 u
Number of mushroom muffins at first
= 11 u - 6.6 u
= 4.4 u
Number of egg muffins sold
= 60% x 9 u
=
60100 x 9 u
=
35 x 9 u
= 5.4 u
Number of mushroom muffins sold
=
25 x 11 u
= 4.4 u
Number of egg muffins left
= 9 u - 5.4 u
= 3.6 u
To maintain the percentage of the egg muffins in the end,
45% → 3.6 u
100% →
3.645 x 100 = 8 u
Total number of muffins in the end to maintain the original percentage of egg muffins = 8 u
Number of lotus paste muffins left
= 8 u - 3.6 u
= 4.4 u
Number of lotus paste muffins that Gabby must sell to maintain the original percentage of egg muffins
= 6.6 u - 4.4 u
= 2.2 u
Percentage of the lotus paste muffins that Gabby must sell
=
2.26.6 x 100%
= 33.3%
Answer(s): 33.3%