Gabby bought a total of 40 big and small chocolate bars. Then she decided to exchange 75% of her big chocolate bars for the small ones in the ratio of 3 : 5. After the exchange, she had 48 chocolate bars. What percentage of the chocolate bars she bought were small ones?
| |
Big chocolate bars |
Small chocolate bars |
Total |
| Before |
4 u |
? |
40 |
| Change |
- 3 u |
|
|
Comparing big and
small chocolate bars at exchange |
- 3 u |
+ 5 u |
+ 8 |
| After |
1 u |
? |
48 |
75% =
75100 =
34The number of big chocolate bars that were exchanged for small chocolate bars was repeated.
Number of extra chocolate bars that Gabby received due to the exchange
= 5 u - 3 u
= 2 u
2 u = 48 - 40
2 u = 8
1 u = 8 ÷ 2 = 4
Number of small chocolate bars at first
= 40 - 4 u
= 40 - 4 x 4
= 40 - 16
= 24
Percentage of the chocolate bars Gabby bought that were small ones
=
2440 x 100%
= 60%
Answer(s): 60%
