Jade bought a total of 100 big and small sweets. Then she decided to exchange 50% of her big sweets for the small ones in the ratio of 1 : 3. After the exchange, she had 104 sweets. What percentage of the sweets she bought were small ones?
|
Big sweets |
Small sweets |
Total |
Before |
2 u |
? |
100 |
Change |
- 1 u |
|
|
Comparing big and small sweets at exchange |
- 1 u |
+ 3 u |
+ 4 |
After |
1 u |
? |
104 |
50% =
50100 =
12The number of big sweets that were exchanged for small sweets was repeated.
Number of extra sweets that Jade received due to the exchange
= 3 u - 1 u
= 2 u
2 u = 104 - 100
2 u = 4
1 u = 4 ÷ 2 = 2
Number of small sweets at first
= 100 - 2 u
= 100 - 2 x 2
= 100 - 4
= 96
Percentage of the sweets Jade bought that were small ones
=
96100 x 100%
= 96%
Answer(s): 96%