Jaslyn bought a total of 32 big and small chocolate bars. Then she decided to exchange 50% of her big chocolate bars for the small ones in the ratio of 1 : 4. After the exchange, she had 44 chocolate bars. What percentage of the chocolate bars she bought were small ones?
|
Big chocolate bars |
Small chocolate bars |
Total |
Before |
2 u |
? |
32 |
Change |
- 1 u |
|
|
Comparing big and small chocolate bars at exchange |
- 1 u |
+ 4 u |
+ 12 |
After |
1 u |
? |
44 |
50% =
50100 =
12The number of big chocolate bars that were exchanged for small chocolate bars was repeated.
Number of extra chocolate bars that Jaslyn received due to the exchange
= 4 u - 1 u
= 3 u
3 u = 44 - 32
3 u = 12
1 u = 12 ÷ 3 = 4
Number of small chocolate bars at first
= 32 - 2 u
= 32 - 2 x 4
= 32 - 8
= 24
Percentage of the chocolate bars Jaslyn bought that were small ones
=
2432 x 100%
= 75%
Answer(s): 75%