Raeann bought a total of 350 big and small sweets. Then she decided to exchange 50% of her big sweets for the small ones in the ratio of 1 : 4. After the exchange, she had 371 sweets. What percentage of the sweets she bought were small ones?
| |
Big sweets |
Small sweets |
Total |
| Before |
2 u |
? |
350 |
| Change |
- 1 u |
|
|
Comparing big and
small sweets at exchange |
- 1 u |
+ 4 u |
+ 21 |
| After |
1 u |
? |
371 |
50% =
50100 =
12The number of big sweets that were exchanged for small sweets was repeated.
Number of extra sweets that Raeann received due to the exchange
= 4 u - 1 u
= 3 u
3 u = 371 - 350
3 u = 21
1 u = 21 ÷ 3 = 7
Number of small sweets at first
= 350 - 2 u
= 350 - 2 x 7
= 350 - 14
= 336
Percentage of the sweets Raeann bought that were small ones
=
336350 x 100%
= 96%
Answer(s): 96%
