Tammy bought a total of 40 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 65 lollipops. What percentage of the lollipops she bought were small ones?
| |
Big lollipops |
Small lollipops |
Total |
| Before |
2 u |
? |
40 |
| Change |
- 1 u |
|
|
Comparing big and
small lollipops at exchange |
- 1 u |
+ 6 u |
+ 25 |
| After |
1 u |
? |
65 |
50% =
50100 =
12The number of big lollipops that were exchanged for small lollipops was repeated.
Number of extra lollipops that Tammy received due to the exchange
= 6 u - 1 u
= 5 u
5 u = 65 - 40
5 u = 25
1 u = 25 ÷ 5 = 5
Number of small lollipops at first
= 40 - 2 u
= 40 - 2 x 5
= 40 - 10
= 30
Percentage of the lollipops Tammy bought that were small ones
=
3040 x 100%
= 75%
Answer(s): 75%
