Elyse made muffins for sale. 55% of the muffins were beef muffins and the rest were curry and mushroom muffins in the ratio 3 : 2. If a customer bought 65% of the beef muffins and all of the mushroom muffins, what percentage of the curry muffins must Elyse sell for her to maintain the original percentage of beef muffins at first? Leave your answer in decimals and correct to 1 decimal place.
Beef muffins |
Curry muffins |
Mushroom muffins |
11 u |
9 u |
|
5.4 u |
3.6 u |
|
Beef muffins |
Curry muffins |
Mushroom muffins |
Total muffins |
Before |
11 u |
5.4 u |
3.6 u |
20 u |
Change |
- 7.15 u |
- 2.25 u |
- 3.6 u |
|
After |
3.85 u |
3.15 u |
0 |
7 u |
55% =
55100 =
112065% =
65100 =
1320 Total number of muffins = 20 u
Number of curry and mushroom muffins
= 20 u - 11 u
= 9 u
Number of curry muffins at first
=
35 x 9 u
= 5.4 u
Number of mushroom muffins at first
= 9 u - 5.4 u
= 3.6 u
Number of beef muffins sold
= 65% x 11 u
=
65100 x 11 u
=
1320 x 11 u
= 7.15 u
Number of mushroom muffins sold
=
25 x 9 u
= 3.6 u
Number of beef muffins left
= 11 u - 7.15 u
= 3.85 u
To maintain the percentage of the beef muffins in the end,
55% → 3.85 u
100% →
3.8555 x 100 = 7 u
Total number of muffins in the end to maintain the original percentage of beef muffins = 7 u
Number of curry muffins left
= 7 u - 3.85 u
= 3.15 u
Number of curry muffins that Elyse must sell to maintain the original percentage of beef muffins
= 5.4 u - 3.15 u
= 2.25 u
Percentage of the curry muffins that Elyse must sell
=
2.255.4 x 100%
= 41.7%
Answer(s): 41.7%