Sam had 75% fewer mini cupcakes than Zane. After Zane gave 190 mini cupcakes to Sam, Sam had
23 as many mini cupcakes as Zane. How many mini cupcakes did each of them have in the end?
- Zane
- Sam
|
Sam |
Zane |
Total |
Before |
1x5 = 5 u |
4x5 = 20 u |
5x5 = 25 u |
Change |
+ 190 |
- 190 |
|
After |
2x5 = 10 u |
3x5 = 15 u |
5x5 = 25 u |
Number of mini cupcakes that Sam 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 5 and 5 is 25.
Number of mini cupcakes that Zane gave to Sam
= 20 u - 15 u
= 5 u
5 u = 190
1 u = 190 ÷ 5 = 38
Number of mini cupcakes that Sam had in the end
= 10 u
= 10 x 38
= 380
Number of mini cupcakes that Zane had in the end
= 15 u
= 15 x 38
= 570
Answer(s): (a) 380; (b) 570