Jade made puffs for sale. 55% of the puffs were sardine puffs and the rest were kaya and beef puffs in the ratio 4 : 1. If a customer bought 75% of the sardine puffs and all of the beef puffs, what percentage of the kaya puffs must Jade sell for her to maintain the original percentage of sardine puffs at first? Leave your answer in decimals and correct to 1 decimal place.
Sardine puffs |
Kaya puffs |
Beef puffs |
11 u |
9 u |
|
7.2 u |
1.8 u |
|
Sardine puffs |
Kaya puffs |
Beef puffs |
Total puffs |
Before |
11 u |
7.2 u |
1.8 u |
20 u |
Change |
- 8.25 u |
- 4.95 u |
- 1.8 u |
|
After |
2.75 u |
2.25 u |
0 |
5 u |
55% =
55100 =
112075% =
75100 =
34 Total number of puffs = 20 u
Number of kaya and beef puffs
= 20 u - 11 u
= 9 u
Number of kaya puffs at first
=
45 x 9 u
= 7.2 u
Number of beef puffs at first
= 9 u - 7.2 u
= 1.8 u
Number of sardine puffs sold
= 75% x 11 u
=
75100 x 11 u
=
34 x 11 u
= 8.25 u
Number of beef puffs sold
=
15 x 9 u
= 1.8 u
Number of sardine puffs left
= 11 u - 8.25 u
= 2.75 u
To maintain the percentage of the sardine puffs in the end,
55% → 2.75 u
100% →
2.7555 x 100 = 5 u
Total number of puffs in the end to maintain the original percentage of sardine puffs = 5 u
Number of kaya puffs left
= 5 u - 2.75 u
= 2.25 u
Number of kaya puffs that Jade must sell to maintain the original percentage of sardine puffs
= 7.2 u - 2.25 u
= 4.95 u
Percentage of the kaya puffs that Jade must sell
=
4.957.2 x 100%
= 68.8%
Answer(s): 68.8%