Gillian bought a total of 200 big and small lollipops. Then she decided to exchange 20% of her big lollipops for the small ones in the ratio of 1 : 6. After the exchange, she had 240 lollipops. What percentage of the lollipops she bought were small ones?
| |
Big lollipops |
Small lollipops |
Total |
| Before |
5 u |
? |
200 |
| Change |
- 1 u |
|
|
Comparing big and
small lollipops at exchange |
- 1 u |
+ 6 u |
+ 40 |
| After |
4 u |
? |
240 |
20% =
20100 =
15The number of big lollipops that were exchanged for small lollipops was repeated.
Number of extra lollipops that Gillian received due to the exchange
= 6 u - 1 u
= 5 u
5 u = 240 - 200
5 u = 40
1 u = 40 ÷ 5 = 8
Number of small lollipops at first
= 200 - 5 u
= 200 - 5 x 8
= 200 - 40
= 160
Percentage of the lollipops Gillian bought that were small ones
=
160200 x 100%
= 80%
Answer(s): 80%
