Diana bought a total of 128 big and small chocolate bars. Then she decided to exchange 25% of her big chocolate bars for the small ones in the ratio of 1 : 3. After the exchange, she had 144 chocolate bars. What percentage of the chocolate bars she bought were small ones?
|
Big chocolate bars |
Small chocolate bars |
Total |
Before |
4 u |
? |
128 |
Change |
- 1 u |
|
|
Comparing big and small chocolate bars at exchange |
- 1 u |
+ 3 u |
+ 16 |
After |
3 u |
? |
144 |
25% =
25100 =
14The number of big chocolate bars that were exchanged for small chocolate bars was repeated.
Number of extra chocolate bars that Diana received due to the exchange
= 3 u - 1 u
= 2 u
2 u = 144 - 128
2 u = 16
1 u = 16 ÷ 2 = 8
Number of small chocolate bars at first
= 128 - 4 u
= 128 - 4 x 8
= 128 - 32
= 96
Percentage of the chocolate bars Diana bought that were small ones
=
96128 x 100%
= 75%
Answer(s): 75%