Diana bought a total of 30 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 42 lollipops. What percentage of the lollipops she bought were small ones?
| |
Big lollipops |
Small lollipops |
Total |
| Before |
4 u |
? |
30 |
| Change |
- 3 u |
|
|
Comparing big and
small lollipops at exchange |
- 3 u |
+ 5 u |
+ 12 |
| After |
1 u |
? |
42 |
75% =
75100 =
34The number of big lollipops that were exchanged for small lollipops was repeated.
Number of extra lollipops that Diana received due to the exchange
= 5 u - 3 u
= 2 u
2 u = 42 - 30
2 u = 12
1 u = 12 ÷ 2 = 6
Number of small lollipops at first
= 30 - 4 u
= 30 - 4 x 6
= 30 - 24
= 6
Percentage of the lollipops Diana bought that were small ones
=
630 x 100%
= 20%
Answer(s): 20%
