Winnie bought a total of 175 big and small lollipops. Then she decided to exchange 60% of her big lollipops for the small ones in the ratio of 3 : 8. After the exchange, she had 210 lollipops. What percentage of the lollipops she bought were small ones?
| |
Big lollipops |
Small lollipops |
Total |
| Before |
5 u |
? |
175 |
| Change |
- 3 u |
|
|
Comparing big and
small lollipops at exchange |
- 3 u |
+ 8 u |
+ 35 |
| After |
2 u |
? |
210 |
60% =
60100 =
35The number of big lollipops that were exchanged for small lollipops was repeated.
Number of extra lollipops that Winnie received due to the exchange
= 8 u - 3 u
= 5 u
5 u = 210 - 175
5 u = 35
1 u = 35 ÷ 5 = 7
Number of small lollipops at first
= 175 - 5 u
= 175 - 5 x 7
= 175 - 35
= 140
Percentage of the lollipops Winnie bought that were small ones
=
140175 x 100%
= 80%
Answer(s): 80%
