Harry had 75% fewer mochi balls than Sam. After Sam gave 232 mochi balls to Harry, Harry had
34 as many mochi balls as Sam. How many mochi balls did each of them have in the end?
- Sam
- Harry
|
Harry |
Sam |
Total |
Before |
1x7 = 7 u |
4x7 = 28 u |
5x7 = 35 u |
Change |
+ 232 |
- 232 |
|
After |
3x5 = 15 u |
4x5 = 20 u |
7x5 = 35 u |
Number of mochi balls that Harry had at first in percentage
= 100% - 75%
= 25%
25% =
25100 =
14 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 7 and 5 is 35.
Number of mochi balls that Sam gave to Harry
= 28 u - 20 u
= 8 u
8 u = 232
1 u = 232 ÷ 8 = 29
Number of mochi balls that Harry had in the end
= 15 u
= 15 x 29
= 435
Number of mochi balls that Sam had in the end
= 20 u
= 20 x 29
= 580
Answer(s): (a) 435; (b) 580