Shiyun had a total of 392 pink and white balls. She used
35 of her pink balls and bought another 33 white balls. The number of white balls she had then become
13 the number of pink balls. How many less white balls than pink balls did she have at first?
| |
Pink balls |
White balls |
| Before |
5x3 |
|
| Change |
- 3x3 |
+ 33 |
| After |
2x3 |
|
| Comparing balls in the end |
3x2 |
1x2 |
| |
Pink balls |
White balls |
| Before |
15 u |
2 u - 33 |
| Change |
- 9 u |
+ 33 |
| After |
6 u |
2 u |
The number of pink balls in the end is repeated.
LCM of 2 and 3 is 6.
Total number of pink balls and white balls
= 15 u + 2 u - 33
= 17 u - 33
17 u - 33 = 392
17 u = 392 + 33
17 u = 425
1 u = 425 ÷ 17 = 25
Number of less white balls than pink balls at first
= 15 u - (2 u - 33)
= 13 u + 33
= 13 x 25 + 33
= 358
Answer(s): 358
