Diana bought a total of 600 big and small lollipops. Then she decided to exchange 50% of her big lollipops for the small ones in the ratio of 1 : 6. After the exchange, she had 660 lollipops. What percentage of the lollipops she bought were small ones?
| |
Big lollipops |
Small lollipops |
Total |
| Before |
2 u |
? |
600 |
| Change |
- 1 u |
|
|
Comparing big and
small lollipops at exchange |
- 1 u |
+ 6 u |
+ 60 |
| After |
1 u |
? |
660 |
50% =
50100 =
12The number of big lollipops that were exchanged for small lollipops was repeated.
Number of extra lollipops that Diana received due to the exchange
= 6 u - 1 u
= 5 u
5 u = 660 - 600
5 u = 60
1 u = 60 ÷ 5 = 12
Number of small lollipops at first
= 600 - 2 u
= 600 - 2 x 12
= 600 - 24
= 576
Percentage of the lollipops Diana bought that were small ones
=
576600 x 100%
= 96%
Answer(s): 96%
