Winnie had a total of 382 white and pink balls. She used
35 of her white balls and bought another 43 pink balls. The number of pink balls she had then become
13 the number of white balls. How many less pink balls than white balls did she have at first?
| |
White balls |
Pink balls |
| Before |
5x3 |
|
| Change |
- 3x3 |
+ 43 |
| After |
2x3 |
|
| Comparing balls in the end |
3x2 |
1x2 |
| |
White balls |
Pink balls |
| Before |
15 u |
2 u - 43 |
| Change |
- 9 u |
+ 43 |
| After |
6 u |
2 u |
The number of white balls in the end is repeated.
LCM of 2 and 3 is 6.
Total number of white balls and pink balls
= 15 u + 2 u - 43
= 17 u - 43
17 u - 43 = 382
17 u = 382 + 43
17 u = 425
1 u = 425 ÷ 17 = 25
Number of less pink balls than white balls at first
= 15 u - (2 u - 43)
= 13 u + 43
= 13 x 25 + 43
= 368
Answer(s): 368
