Jenson had 60% fewer mini cupcakes than Simon. After Simon gave 154 mini cupcakes to Jenson, Jenson had
34 as many mini cupcakes as Simon. How many mini cupcakes did each of them have in the end?
- Simon
- Jenson
|
Jenson |
Simon |
Total |
Before |
2x7 = 14 u |
5x7 = 35 u |
7x7 = 49 u |
Change |
+ 154 |
- 154 |
|
After |
3x7 = 21 u |
4x7 = 28 u |
7x7 = 49 u |
Number of mini cupcakes that Jenson 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 Simon gave to Jenson
= 35 u - 28 u
= 7 u
7 u = 154
1 u = 154 ÷ 7 = 22
Number of mini cupcakes that Jenson had in the end
= 21 u
= 21 x 22
= 462
Number of mini cupcakes that Simon had in the end
= 28 u
= 28 x 22
= 616
Answer(s): (a) 462; (b) 616