Mark had 60% fewer mini cupcakes than Jenson. After Jenson gave 196 mini cupcakes to Mark, Mark had
34 as many mini cupcakes as Jenson. How many mini cupcakes did each of them have in the end?
- Jenson
- Mark
|
Mark |
Jenson |
Total |
Before |
2x7 = 14 u |
5x7 = 35 u |
7x7 = 49 u |
Change |
+ 196 |
- 196 |
|
After |
3x7 = 21 u |
4x7 = 28 u |
7x7 = 49 u |
Number of mini cupcakes that Mark had at first in percentage
= 100% - 60%
= 40%
40% =
40100 =
25 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 7 is 49.
Number of mini cupcakes that Jenson gave to Mark
= 35 u - 28 u
= 7 u
7 u = 196
1 u = 196 ÷ 7 = 28
Number of mini cupcakes that Mark had in the end
= 21 u
= 21 x 28
= 588
Number of mini cupcakes that Jenson had in the end
= 28 u
= 28 x 28
= 784
Answer(s): (a) 588; (b) 784