Elyse had a total of 201 white and purple balls. She used
45 of her white balls and bought another 33 purple balls. The number of purple balls she had then become
15 the number of white balls. How many less purple balls than white balls did she have at first?
| |
White balls |
Purple balls |
| Before |
5x5 |
|
| Change |
- 4x5 |
+ 33 |
| After |
1x5 |
|
| Comparing balls in the end |
5x1 |
1x1 |
| |
White balls |
Purple balls |
| Before |
25 u |
1 u - 33 |
| Change |
- 20 u |
+ 33 |
| After |
5 u |
1 u |
The number of white balls in the end is repeated.
LCM of 1 and 5 is 5.
Total number of white balls and purple balls
= 25 u + 1 u - 33
= 26 u - 33
26 u - 33 = 201
26 u = 201 + 33
26 u = 234
1 u = 234 ÷ 26 = 9
Number of less purple balls than white balls at first
= 25 u - (1 u - 33)
= 24 u + 33
= 24 x 9 + 33
= 249
Answer(s): 249
