Warren had 70% fewer mini cupcakes than John. After John gave 378 mini cupcakes to Warren, Warren had
34 as many mini cupcakes as John. How many mini cupcakes did each of them have in the end?
- John
- Warren
|
Warren |
John |
Total |
Before |
3x7 = 21 u |
10x7 = 70 u |
13x7 = 91 u |
Change |
+ 378 |
- 378 |
|
After |
3x13 = 39 u |
4x13 = 52 u |
7x13 = 91 u |
Number of mini cupcakes that Warren had at first in percentage
= 100% - 70%
= 30%
30% =
30100 =
310 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 13 is 91.
Number of mini cupcakes that John gave to Warren
= 70 u - 52 u
= 18 u
18 u = 378
1 u = 378 ÷ 18 = 21
Number of mini cupcakes that Warren had in the end
= 39 u
= 39 x 21
= 819
Number of mini cupcakes that John had in the end
= 52 u
= 52 x 21
= 1092
Answer(s): (a) 819; (b) 1092