Erika bought a total of 200 big and small lollipops. Then she decided to exchange 60% of her big lollipops for the small ones in the ratio of 3 : 7. 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 |
- 3 u |
|
|
Comparing big and
small lollipops at exchange |
- 3 u |
+ 7 u |
+ 40 |
| After |
2 u |
? |
240 |
60% =
60100 =
35The number of big lollipops that were exchanged for small lollipops was repeated.
Number of extra lollipops that Erika received due to the exchange
= 7 u - 3 u
= 4 u
4 u = 240 - 200
4 u = 40
1 u = 40 ÷ 4 = 10
Number of small lollipops at first
= 200 - 5 u
= 200 - 5 x 10
= 200 - 50
= 150
Percentage of the lollipops Erika bought that were small ones
=
150200 x 100%
= 75%
Answer(s): 75%
