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