Xylia bought a total of 450 big and small lollipops. Then she decided to exchange 25% of her big lollipops for the small ones in the ratio of 1 : 5. After the exchange, she had 486 lollipops. What percentage of the lollipops she bought were small ones?
| |
Big lollipops |
Small lollipops |
Total |
| Before |
4 u |
? |
450 |
| Change |
- 1 u |
|
|
Comparing big and
small lollipops at exchange |
- 1 u |
+ 5 u |
+ 36 |
| After |
3 u |
? |
486 |
25% =
25100 =
14The number of big lollipops that were exchanged for small lollipops was repeated.
Number of extra lollipops that Xylia received due to the exchange
= 5 u - 1 u
= 4 u
4 u = 486 - 450
4 u = 36
1 u = 36 ÷ 4 = 9
Number of small lollipops at first
= 450 - 4 u
= 450 - 4 x 9
= 450 - 36
= 414
Percentage of the lollipops Xylia bought that were small ones
=
414450 x 100%
= 92%
Answer(s): 92%
