Raeann bought a total of 275 big and small lollipops. Then she decided to exchange 40% of her big lollipops for the small ones in the ratio of 2 : 7. After the exchange, she had 330 lollipops. What percentage of the lollipops she bought were small ones?
| |
Big lollipops |
Small lollipops |
Total |
| Before |
5 u |
? |
275 |
| Change |
- 2 u |
|
|
Comparing big and
small lollipops at exchange |
- 2 u |
+ 7 u |
+ 55 |
| After |
3 u |
? |
330 |
40% =
40100 =
25The number of big lollipops that were exchanged for small lollipops was repeated.
Number of extra lollipops that Raeann received due to the exchange
= 7 u - 2 u
= 5 u
5 u = 330 - 275
5 u = 55
1 u = 55 ÷ 5 = 11
Number of small lollipops at first
= 275 - 5 u
= 275 - 5 x 11
= 275 - 55
= 220
Percentage of the lollipops Raeann bought that were small ones
=
220275 x 100%
= 80%
Answer(s): 80%
