Neave had 60% fewer mochi balls than Oscar. After Oscar gave 336 mochi balls to Neave, Neave had
23 as many mochi balls as Oscar. How many mochi balls did each of them have in the end?
- Oscar
- Neave
|
Neave |
Oscar |
Total |
Before |
2x5 = 10 u |
5x5 = 25 u |
7x5 = 35 u |
Change |
+ 336 |
- 336 |
|
After |
2x7 = 14 u |
3x7 = 21 u |
5x7 = 35 u |
Number of mochi balls that Neave had at first in percentage
= 100% - 60%
= 40%
40% =
40100 =
25 The total number of mochi balls at first and in the end remains unchanged. Make the total number of mochi balls the same. LCM of 5 and 7 is 35.
Number of mochi balls that Oscar gave to Neave
= 25 u - 21 u
= 4 u
4 u = 336
1 u = 336 ÷ 4 = 84
Number of mochi balls that Neave had in the end
= 14 u
= 14 x 84
= 1176
Number of mochi balls that Oscar had in the end
= 21 u
= 21 x 84
= 1764
Answer(s): (a) 1176; (b) 1764