Opal bought a total of 220 big and small lollipops. Then she decided to exchange 20% of her big lollipops for the small ones in the ratio of 1 : 4. After the exchange, she had 253 lollipops. What percentage of the lollipops she bought were small ones?
|
Big lollipops |
Small lollipops |
Total |
Before |
5 u |
? |
220 |
Change |
- 1 u |
|
|
Comparing big and small lollipops at exchange |
- 1 u |
+ 4 u |
+ 33 |
After |
4 u |
? |
253 |
20% =
20100 =
15The number of big lollipops that were exchanged for small lollipops was repeated.
Number of extra lollipops that Opal received due to the exchange
= 4 u - 1 u
= 3 u
3 u = 253 - 220
3 u = 33
1 u = 33 ÷ 3 = 11
Number of small lollipops at first
= 220 - 5 u
= 220 - 5 x 11
= 220 - 55
= 165
Percentage of the lollipops Opal bought that were small ones
=
165220 x 100%
= 75%
Answer(s): 75%