Olivia bought a total of 80 big and small sweets. Then she decided to exchange 20% of her big sweets for the small ones in the ratio of 1 : 5. After the exchange, she had 96 sweets. What percentage of the sweets she bought were small ones?
| |
Big sweets |
Small sweets |
Total |
| Before |
5 u |
? |
80 |
| Change |
- 1 u |
|
|
Comparing big and
small sweets at exchange |
- 1 u |
+ 5 u |
+ 16 |
| After |
4 u |
? |
96 |
20% =
20100 =
15The number of big sweets that were exchanged for small sweets was repeated.
Number of extra sweets that Olivia received due to the exchange
= 5 u - 1 u
= 4 u
4 u = 96 - 80
4 u = 16
1 u = 16 ÷ 4 = 4
Number of small sweets at first
= 80 - 5 u
= 80 - 5 x 4
= 80 - 20
= 60
Percentage of the sweets Olivia bought that were small ones
=
6080 x 100%
= 75%
Answer(s): 75%
