Sarah bought a total of 250 big and small lollipops. Then she decided to exchange 50% of her big lollipops for the small ones in the ratio of 1 : 3. After the exchange, she had 260 lollipops. What percentage of the lollipops she bought were small ones?
| |
Big lollipops |
Small lollipops |
Total |
| Before |
2 u |
? |
250 |
| Change |
- 1 u |
|
|
Comparing big and
small lollipops at exchange |
- 1 u |
+ 3 u |
+ 10 |
| After |
1 u |
? |
260 |
50% =
50100 =
12The number of big lollipops that were exchanged for small lollipops was repeated.
Number of extra lollipops that Sarah received due to the exchange
= 3 u - 1 u
= 2 u
2 u = 260 - 250
2 u = 10
1 u = 10 ÷ 2 = 5
Number of small lollipops at first
= 250 - 2 u
= 250 - 2 x 5
= 250 - 10
= 240
Percentage of the lollipops Sarah bought that were small ones
=
240250 x 100%
= 96%
Answer(s): 96%
