Olivia bought a total of 240 big and small chocolate bars. Then she decided to exchange 20% of her big chocolate bars for the small ones in the ratio of 1 : 5. After the exchange, she had 288 chocolate bars. What percentage of the chocolate bars she bought were small ones?
|
Big chocolate bars |
Small chocolate bars |
Total |
Before |
5 u |
? |
240 |
Change |
- 1 u |
|
|
Comparing big and small chocolate bars at exchange |
- 1 u |
+ 5 u |
+ 48 |
After |
4 u |
? |
288 |
20% =
20100 =
15The number of big chocolate bars that were exchanged for small chocolate bars was repeated.
Number of extra chocolate bars that Olivia received due to the exchange
= 5 u - 1 u
= 4 u
4 u = 288 - 240
4 u = 48
1 u = 48 ÷ 4 = 12
Number of small chocolate bars at first
= 240 - 5 u
= 240 - 5 x 12
= 240 - 60
= 180
Percentage of the chocolate bars Olivia bought that were small ones
=
180240 x 100%
= 75%
Answer(s): 75%