Tina made muffins for sale. 60% of the muffins were mushroom muffins and the rest were kaya and curry muffins in the ratio 3 : 2. If a customer bought 65% of the mushroom muffins and all of the curry muffins, what percentage of the kaya muffins must Tina sell for her to maintain the original percentage of mushroom muffins at first? Leave your answer in decimals and correct to 1 decimal place.
Mushroom muffins |
Kaya muffins |
Curry muffins |
3 u |
2 u |
|
1.2 u |
0.8 u |
|
Mushroom muffins |
Kaya muffins |
Curry muffins |
Total muffins |
Before |
3 u |
1.2 u |
0.8 u |
5 u |
Change |
- 1.95 u |
- 0.5 u |
- 0.8 u |
|
After |
1.05 u |
0.7 u |
0 |
1.75 u |
60% =
60100 =
3565% =
65100 =
1320 Total number of muffins = 5 u
Number of kaya and curry muffins
= 5 u - 3 u
= 2 u
Number of kaya muffins at first
=
35 x 2 u
= 1.2 u
Number of curry muffins at first
= 2 u - 1.2 u
= 0.8 u
Number of mushroom muffins sold
= 65% x 3 u
=
65100 x 3 u
=
1320 x 3 u
= 1.95 u
Number of curry muffins sold
=
25 x 2 u
= 0.8 u
Number of mushroom muffins left
= 3 u - 1.95 u
= 1.05 u
To maintain the percentage of the mushroom muffins in the end,
60% → 1.05 u
100% →
1.0560 x 100 = 1.75 u
Total number of muffins in the end to maintain the original percentage of mushroom muffins = 1.75 u
Number of kaya muffins left
= 1.75 u - 1.05 u
= 0.7 u
Number of kaya muffins that Tina must sell to maintain the original percentage of mushroom muffins
= 1.2 u - 0.7 u
= 0.5 u
Percentage of the kaya muffins that Tina must sell
=
0.51.2 x 100%
= 41.7%
Answer(s): 41.7%