Cathy had a total of 230 purple and white balls. She used
45 of her purple balls and bought another 58 white balls. The number of white balls she had then become
13 the number of purple balls. How many less white balls than purple balls did she have at first?
| |
Purple balls |
White balls |
| Before |
5x3 |
|
| Change |
- 4x3 |
+ 58 |
| After |
1x3 |
|
| Comparing balls in the end |
3x1 |
1x1 |
| |
Purple balls |
White balls |
| Before |
15 u |
1 u - 58 |
| Change |
- 12 u |
+ 58 |
| After |
3 u |
1 u |
The number of purple balls in the end is repeated.
LCM of 1 and 3 is 3.
Total number of purple balls and white balls
= 15 u + 1 u - 58
= 16 u - 58
16 u - 58 = 230
16 u = 230 + 58
16 u = 288
1 u = 288 ÷ 16 = 18
Number of less white balls than purple balls at first
= 15 u - (1 u - 58)
= 14 u + 58
= 14 x 18 + 58
= 310
Answer(s): 310
