At first, Albert, Jane and Ian had some caramel apples in the ratio 7 : 5 : 6 respectively. Albert had 280 caramel apples. Then he gave all his caramel apples to Jane and Ian. After receiving the caramel apples from Albert, Jane and Ian had the same number of caramel apples. How many caramel apples did Jane receive from Albert?
|
Albert |
Jane |
Ian |
Total |
Before |
7x1 = 7 u |
5x1 = 5 u |
6x1 = 6 u |
18x1 = 18 u |
Change |
- 7 u |
+ 7 u |
|
After |
0 |
1x9 = 9 u |
1x9 = 9 u |
2x9 = 18 u |
The total number of caramel apples remains unchanged. Make the total number of caramel apples the same. LCM of 2 and 18 is 18.
Total number of caramel apples = 18 u
Number of caramel apples that Jane had in the end
= 18 u ÷ 2
= 9 u
Number of caramel apples that Albert had at first = 7 u
7 u = 280
1 u = 280 ÷ 7 = 40
Number of caramel apples that Jane received from Albert
= 9 u - 5 u
= 4 u
= 4 x 40
= 160
Answer(s): 160