Roshel bought a total of 150 big and small lollipops. Then she decided to exchange 75% of her big lollipops for the small ones in the ratio of 3 : 5. After the exchange, she had 162 lollipops. What percentage of the lollipops she bought were small ones?
| |
Big lollipops |
Small lollipops |
Total |
| Before |
4 u |
? |
150 |
| Change |
- 3 u |
|
|
Comparing big and
small lollipops at exchange |
- 3 u |
+ 5 u |
+ 12 |
| After |
1 u |
? |
162 |
75% =
75100 =
34The number of big lollipops that were exchanged for small lollipops was repeated.
Number of extra lollipops that Roshel received due to the exchange
= 5 u - 3 u
= 2 u
2 u = 162 - 150
2 u = 12
1 u = 12 ÷ 2 = 6
Number of small lollipops at first
= 150 - 4 u
= 150 - 4 x 6
= 150 - 24
= 126
Percentage of the lollipops Roshel bought that were small ones
=
126150 x 100%
= 84%
Answer(s): 84%
