Ivory made muffins for sale. 40% of the muffins were chocolate muffins and the rest were lotus paste and kaya muffins in the ratio 3 : 2. If a customer bought 75% of the chocolate muffins and all of the kaya muffins, what percentage of the lotus paste muffins must Ivory sell for her to maintain the original percentage of chocolate muffins at first? Leave your answer in decimals and correct to 1 decimal place.
Chocolate muffins |
Lotus paste muffins |
Kaya muffins |
2 u |
3 u |
|
1.8 u |
1.2 u |
|
Chocolate muffins |
Lotus paste muffins |
Kaya muffins |
Total muffins |
Before |
2 u |
1.8 u |
1.2 u |
5 u |
Change |
- 1.5 u |
- 1.05 u |
- 1.2 u |
|
After |
0.5 u |
0.75 u |
0 |
1.25 u |
40% =
40100 =
2575% =
75100 =
34 Total number of muffins = 5 u
Number of lotus paste and kaya muffins
= 5 u - 2 u
= 3 u
Number of lotus paste muffins at first
=
35 x 3 u
= 1.8 u
Number of kaya muffins at first
= 3 u - 1.8 u
= 1.2 u
Number of chocolate muffins sold
= 75% x 2 u
=
75100 x 2 u
=
34 x 2 u
= 1.5 u
Number of kaya muffins sold
=
25 x 3 u
= 1.2 u
Number of chocolate muffins left
= 2 u - 1.5 u
= 0.5 u
To maintain the percentage of the chocolate muffins in the end,
40% → 0.5 u
100% →
0.540 x 100 = 1.25 u
Total number of muffins in the end to maintain the original percentage of chocolate muffins = 1.25 u
Number of lotus paste muffins left
= 1.25 u - 0.5 u
= 0.75 u
Number of lotus paste muffins that Ivory must sell to maintain the original percentage of chocolate muffins
= 1.8 u - 0.75 u
= 1.05 u
Percentage of the lotus paste muffins that Ivory must sell
=
1.051.8 x 100%
= 58.3%
Answer(s): 58.3%