Elyse made puffs for sale. 50% of the puffs were mushroom puffs and the rest were curry and beef puffs in the ratio 3 : 1. If a customer bought 80% of the mushroom puffs and all of the beef puffs, what percentage of the curry puffs must Elyse sell for her to maintain the original percentage of mushroom puffs at first? Leave your answer in decimals and correct to 1 decimal place.
Mushroom puffs |
Curry puffs |
Beef puffs |
1 u |
1 u |
|
0.75 u |
0.25 u |
|
Mushroom puffs |
Curry puffs |
Beef puffs |
Total puffs |
Before |
1 u |
0.75 u |
0.25 u |
2 u |
Change |
- 0.8 u |
- 0.55 u |
- 0.25 u |
|
After |
0.2 u |
0.2 u |
0 |
0.4 u |
50% =
50100 =
1280% =
80100 =
45 Total number of puffs = 2 u
Number of curry and beef puffs
= 2 u - 1 u
= 1 u
Number of curry puffs at first
=
34 x 1 u
= 0.75 u
Number of beef puffs at first
= 1 u - 0.75 u
= 0.25 u
Number of mushroom puffs sold
= 80% x 1 u
=
80100 x 1 u
=
45 x 1 u
= 0.8 u
Number of beef puffs sold
=
14 x 1 u
= 0.25 u
Number of mushroom puffs left
= 1 u - 0.8 u
= 0.2 u
To maintain the percentage of the mushroom puffs in the end,
50% → 0.2 u
100% →
0.250 x 100 = 0.4 u
Total number of puffs in the end to maintain the original percentage of mushroom puffs = 0.4 u
Number of curry puffs left
= 0.4 u - 0.2 u
= 0.2 u
Number of curry puffs that Elyse must sell to maintain the original percentage of mushroom puffs
= 0.75 u - 0.2 u
= 0.55 u
Percentage of the curry puffs that Elyse must sell
=
0.550.75 x 100%
= 73.3%
Answer(s): 73.3%