Emily bought a total of 125 big and small lollipops. Then she decided to exchange 80% of her big lollipops for the small ones in the ratio of 4 : 9. After the exchange, she had 150 lollipops. What percentage of the lollipops she bought were small ones?
| |
Big lollipops |
Small lollipops |
Total |
| Before |
5 u |
? |
125 |
| Change |
- 4 u |
|
|
Comparing big and
small lollipops at exchange |
- 4 u |
+ 9 u |
+ 25 |
| After |
1 u |
? |
150 |
80% =
80100 =
45The number of big lollipops that were exchanged for small lollipops was repeated.
Number of extra lollipops that Emily received due to the exchange
= 9 u - 4 u
= 5 u
5 u = 150 - 125
5 u = 25
1 u = 25 ÷ 5 = 5
Number of small lollipops at first
= 125 - 5 u
= 125 - 5 x 5
= 125 - 25
= 100
Percentage of the lollipops Emily bought that were small ones
=
100125 x 100%
= 80%
Answer(s): 80%
