Zara made muffins for sale. 60% of the muffins were curry muffins and the rest were kaya and beef muffins in the ratio 3 : 1. If a customer bought 60% of the curry muffins and all of the beef muffins, what percentage of the kaya muffins must Zara sell for her to maintain the original percentage of curry muffins at first? Leave your answer in decimals and correct to 1 decimal place.
Curry muffins |
Kaya muffins |
Beef muffins |
3 u |
2 u |
|
1.5 u |
0.5 u |
|
Curry muffins |
Kaya muffins |
Beef muffins |
Total muffins |
Before |
3 u |
1.5 u |
0.5 u |
5 u |
Change |
- 1.8 u |
- 0.7 u |
- 0.5 u |
|
After |
1.2 u |
0.8 u |
0 |
2 u |
60% =
60100 =
3560% =
60100 =
35 Total number of muffins = 5 u
Number of kaya and beef muffins
= 5 u - 3 u
= 2 u
Number of kaya muffins at first
=
34 x 2 u
= 1.5 u
Number of beef muffins at first
= 2 u - 1.5 u
= 0.5 u
Number of curry muffins sold
= 60% x 3 u
=
60100 x 3 u
=
35 x 3 u
= 1.8 u
Number of beef muffins sold
=
14 x 2 u
= 0.5 u
Number of curry muffins left
= 3 u - 1.8 u
= 1.2 u
To maintain the percentage of the curry muffins in the end,
60% → 1.2 u
100% →
1.260 x 100 = 2 u
Total number of muffins in the end to maintain the original percentage of curry muffins = 2 u
Number of kaya muffins left
= 2 u - 1.2 u
= 0.8 u
Number of kaya muffins that Zara must sell to maintain the original percentage of curry muffins
= 1.5 u - 0.8 u
= 0.7 u
Percentage of the kaya muffins that Zara must sell
=
0.71.5 x 100%
= 46.7%
Answer(s): 46.7%