Gabriel had 70% fewer chocolate bars than Elijah. After Elijah gave 224 chocolate bars to Gabriel, Gabriel had
56 as many chocolate bars as Elijah. How many chocolate bars did each of them have in the end?
- Elijah
- Gabriel
|
Gabriel |
Elijah |
Total |
Before |
3x11 = 33 u |
10x11 = 110 u |
13x11 = 143 u |
Change |
+ 224 |
- 224 |
|
After |
5x13 = 65 u |
6x13 = 78 u |
11x13 = 143 u |
Number of chocolate bars that Gabriel had at first in percentage
= 100% - 70%
= 30%
30% =
30100 =
310 The total number of chocolate bars at first and in the end remains unchanged. Make the total number of chocolate bars the same. LCM of 11 and 13 is 143.
Number of chocolate bars that Elijah gave to Gabriel
= 110 u - 78 u
= 32 u
32 u = 224
1 u = 224 ÷ 32 = 7
Number of chocolate bars that Gabriel had in the end
= 65 u
= 65 x 7
= 455
Number of chocolate bars that Elijah had in the end
= 78 u
= 78 x 7
= 546
Answer(s): (a) 455; (b) 546