Betty made puffs for sale. 45% of the puffs were egg puffs and the rest were curry and chocolate puffs in the ratio 3 : 1. If a customer bought 65% of the egg puffs and all of the chocolate puffs, what percentage of the curry puffs must Betty sell for her to maintain the original percentage of egg puffs at first? Leave your answer in decimals and correct to 1 decimal place.
Egg puffs |
Curry puffs |
Chocolate puffs |
9 u |
11 u |
|
8.25 u |
2.75 u |
|
Egg puffs |
Curry puffs |
Chocolate puffs |
Total puffs |
Before |
9 u |
8.25 u |
2.75 u |
20 u |
Change |
- 5.85 u |
- 4.4 u |
- 2.75 u |
|
After |
3.15 u |
3.85 u |
0 |
7 u |
45% =
45100 =
92065% =
65100 =
1320 Total number of puffs = 20 u
Number of curry and chocolate puffs
= 20 u - 9 u
= 11 u
Number of curry puffs at first
=
34 x 11 u
= 8.25 u
Number of chocolate puffs at first
= 11 u - 8.25 u
= 2.75 u
Number of egg puffs sold
= 65% x 9 u
=
65100 x 9 u
=
1320 x 9 u
= 5.85 u
Number of chocolate puffs sold
=
14 x 11 u
= 2.75 u
Number of egg puffs left
= 9 u - 5.85 u
= 3.15 u
To maintain the percentage of the egg puffs in the end,
45% → 3.15 u
100% →
3.1545 x 100 = 7 u
Total number of puffs in the end to maintain the original percentage of egg puffs = 7 u
Number of curry puffs left
= 7 u - 3.15 u
= 3.85 u
Number of curry puffs that Betty must sell to maintain the original percentage of egg puffs
= 8.25 u - 3.85 u
= 4.4 u
Percentage of the curry puffs that Betty must sell
=
4.48.25 x 100%
= 53.3%
Answer(s): 53.3%