Albert had 60% fewer mochi balls than Wesley. After Wesley gave 180 mochi balls to Albert, Albert had
45 as many mochi balls as Wesley. How many mochi balls did each of them have in the end?
- Wesley
- Albert
|
Albert |
Wesley |
Total |
Before |
2x9 = 18 u |
5x9 = 45 u |
7x9 = 63 u |
Change |
+ 180 |
- 180 |
|
After |
4x7 = 28 u |
5x7 = 35 u |
9x7 = 63 u |
Number of mochi balls that Albert 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 9 and 7 is 63.
Number of mochi balls that Wesley gave to Albert
= 45 u - 35 u
= 10 u
10 u = 180
1 u = 180 ÷ 10 = 18
Number of mochi balls that Albert had in the end
= 28 u
= 28 x 18
= 504
Number of mochi balls that Wesley had in the end
= 35 u
= 35 x 18
= 630
Answer(s): (a) 504; (b) 630