Valen had 75% fewer mini cupcakes than Perry. After Perry gave 378 mini cupcakes to Valen, Valen had
56 as many mini cupcakes as Perry. How many mini cupcakes did each of them have in the end?
- Perry
- Valen
|
Valen |
Perry |
Total |
Before |
1x11 = 11 u |
4x11 = 44 u |
5x11 = 55 u |
Change |
+ 378 |
- 378 |
|
After |
5x5 = 25 u |
6x5 = 30 u |
11x5 = 55 u |
Number of mini cupcakes that Valen had at first in percentage
= 100% - 75%
= 25%
25% =
25100 =
14 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 11 and 5 is 55.
Number of mini cupcakes that Perry gave to Valen
= 44 u - 30 u
= 14 u
14 u = 378
1 u = 378 ÷ 14 = 27
Number of mini cupcakes that Valen had in the end
= 25 u
= 25 x 27
= 675
Number of mini cupcakes that Perry had in the end
= 30 u
= 30 x 27
= 810
Answer(s): (a) 675; (b) 810