Anna made muffins for sale. 50% of the muffins were curry muffins and the rest were kaya and chicken muffins in the ratio 3 : 1. If a customer bought 65% of the curry muffins and all of the chicken muffins, what percentage of the kaya muffins must Anna 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 |
Chicken muffins |
1 u |
1 u |
|
0.75 u |
0.25 u |
|
Curry muffins |
Kaya muffins |
Chicken muffins |
Total muffins |
Before |
1 u |
0.75 u |
0.25 u |
2 u |
Change |
- 0.65 u |
- 0.4 u |
- 0.25 u |
|
After |
0.35 u |
0.35 u |
0 |
0.7 u |
50% =
50100 =
1265% =
65100 =
1320 Total number of muffins = 2 u
Number of kaya and chicken muffins
= 2 u - 1 u
= 1 u
Number of kaya muffins at first
=
34 x 1 u
= 0.75 u
Number of chicken muffins at first
= 1 u - 0.75 u
= 0.25 u
Number of curry muffins sold
= 65% x 1 u
=
65100 x 1 u
=
1320 x 1 u
= 0.65 u
Number of chicken muffins sold
=
14 x 1 u
= 0.25 u
Number of curry muffins left
= 1 u - 0.65 u
= 0.35 u
To maintain the percentage of the curry muffins in the end,
50% → 0.35 u
100% →
0.3550 x 100 = 0.7 u
Total number of muffins in the end to maintain the original percentage of curry muffins = 0.7 u
Number of kaya muffins left
= 0.7 u - 0.35 u
= 0.35 u
Number of kaya muffins that Anna must sell to maintain the original percentage of curry muffins
= 0.75 u - 0.35 u
= 0.4 u
Percentage of the kaya muffins that Anna must sell
=
0.40.75 x 100%
= 53.3%
Answer(s): 53.3%