Kylie bought a total of 80 big and small lollipops. Then she decided to exchange 75% of her big lollipops for the small ones in the ratio of 3 : 8. After the exchange, she had 90 lollipops. What percentage of the lollipops she bought were small ones?
| |
Big lollipops |
Small lollipops |
Total |
| Before |
4 u |
? |
80 |
| Change |
- 3 u |
|
|
Comparing big and
small lollipops at exchange |
- 3 u |
+ 8 u |
+ 10 |
| After |
1 u |
? |
90 |
75% =
75100 =
34The number of big lollipops that were exchanged for small lollipops was repeated.
Number of extra lollipops that Kylie received due to the exchange
= 8 u - 3 u
= 5 u
5 u = 90 - 80
5 u = 10
1 u = 10 ÷ 5 = 2
Number of small lollipops at first
= 80 - 4 u
= 80 - 4 x 2
= 80 - 8
= 72
Percentage of the lollipops Kylie bought that were small ones
=
7280 x 100%
= 90%
Answer(s): 90%
