Fred had 60% fewer mini cupcakes than John. After John gave 371 mini cupcakes to Fred, Fred had
34 as many mini cupcakes as John. How many mini cupcakes did each of them have in the end?
- John
- Fred
|
Fred |
John |
Total |
Before |
2x7 = 14 u |
5x7 = 35 u |
7x7 = 49 u |
Change |
+ 371 |
- 371 |
|
After |
3x7 = 21 u |
4x7 = 28 u |
7x7 = 49 u |
Number of mini cupcakes that Fred 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 John gave to Fred
= 35 u - 28 u
= 7 u
7 u = 371
1 u = 371 ÷ 7 = 53
Number of mini cupcakes that Fred had in the end
= 21 u
= 21 x 53
= 1113
Number of mini cupcakes that John had in the end
= 28 u
= 28 x 53
= 1484
Answer(s): (a) 1113; (b) 1484