Eva bought a total of 200 big and small lollipops. Then she decided to exchange 25% of her big lollipops for the small ones in the ratio of 1 : 3. After the exchange, she had 220 lollipops. What percentage of the lollipops she bought were small ones?
| |
Big lollipops |
Small lollipops |
Total |
| Before |
4 u |
? |
200 |
| Change |
- 1 u |
|
|
Comparing big and
small lollipops at exchange |
- 1 u |
+ 3 u |
+ 20 |
| After |
3 u |
? |
220 |
25% =
25100 =
14The number of big lollipops that were exchanged for small lollipops was repeated.
Number of extra lollipops that Eva received due to the exchange
= 3 u - 1 u
= 2 u
2 u = 220 - 200
2 u = 20
1 u = 20 ÷ 2 = 10
Number of small lollipops at first
= 200 - 4 u
= 200 - 4 x 10
= 200 - 40
= 160
Percentage of the lollipops Eva bought that were small ones
=
160200 x 100%
= 80%
Answer(s): 80%
