Fabian had 65% fewer mini cupcakes than Pierre. After Pierre gave 192 mini cupcakes to Fabian, Fabian had
34 as many mini cupcakes as Pierre. How many mini cupcakes did each of them have in the end?
- Pierre
- Fabian
|
Fabian |
Pierre |
Total |
Before |
7x7 = 49 u |
20x7 = 140 u |
27x7 = 189 u |
Change |
+ 192 |
- 192 |
|
After |
3x27 = 81 u |
4x27 = 108 u |
7x27 = 189 u |
Number of mini cupcakes that Fabian had at first in percentage
= 100% - 65%
= 35%
35% =
35100 =
720 The total number of mini cupcakes at first and in the end remains unchanged. Make the total number of mini cupcakes the same. LCM of 7 and 27 is 189.
Number of mini cupcakes that Pierre gave to Fabian
= 140 u - 108 u
= 32 u
32 u = 192
1 u = 192 ÷ 32 = 6
Number of mini cupcakes that Fabian had in the end
= 81 u
= 81 x 6
= 486
Number of mini cupcakes that Pierre had in the end
= 108 u
= 108 x 6
= 648
Answer(s): (a) 486; (b) 648