Abi made buns for sale. 55% of the buns were lotus paste buns and the rest were kaya and curry buns in the ratio 4 : 1. If a customer bought 65% of the lotus paste buns and all of the curry buns, what percentage of the kaya buns must Abi sell for her to maintain the original percentage of lotus paste buns at first? Leave your answer in decimals and correct to 1 decimal place.
Lotus paste buns |
Kaya buns |
Curry buns |
11 u |
9 u |
|
7.2 u |
1.8 u |
|
Lotus paste buns |
Kaya buns |
Curry buns |
Total buns |
Before |
11 u |
7.2 u |
1.8 u |
20 u |
Change |
- 7.15 u |
- 4.05 u |
- 1.8 u |
|
After |
3.85 u |
3.15 u |
0 |
7 u |
55% =
55100 =
112065% =
65100 =
1320 Total number of buns = 20 u
Number of kaya and curry buns
= 20 u - 11 u
= 9 u
Number of kaya buns at first
=
45 x 9 u
= 7.2 u
Number of curry buns at first
= 9 u - 7.2 u
= 1.8 u
Number of lotus paste buns sold
= 65% x 11 u
=
65100 x 11 u
=
1320 x 11 u
= 7.15 u
Number of curry buns sold
=
15 x 9 u
= 1.8 u
Number of lotus paste buns left
= 11 u - 7.15 u
= 3.85 u
To maintain the percentage of the lotus paste buns in the end,
55% → 3.85 u
100% →
3.8555 x 100 = 7 u
Total number of buns in the end to maintain the original percentage of lotus paste buns = 7 u
Number of kaya buns left
= 7 u - 3.85 u
= 3.15 u
Number of kaya buns that Abi must sell to maintain the original percentage of lotus paste buns
= 7.2 u - 3.15 u
= 4.05 u
Percentage of the kaya buns that Abi must sell
=
4.057.2 x 100%
= 56.3%
Answer(s): 56.3%