Emily had a total of 333 yellow and white balls. She used
45 of her yellow balls and bought another 57 white balls. The number of white balls she had then become
15 the number of yellow balls. How many less white balls than yellow balls did she have at first?
| |
Yellow balls |
White balls |
| Before |
5x5 |
|
| Change |
- 4x5 |
+ 57 |
| After |
1x5 |
|
| Comparing balls in the end |
5x1 |
1x1 |
| |
Yellow balls |
White balls |
| Before |
25 u |
1 u - 57 |
| Change |
- 20 u |
+ 57 |
| After |
5 u |
1 u |
The number of yellow balls in the end is repeated.
LCM of 1 and 5 is 5.
Total number of yellow balls and white balls
= 25 u + 1 u - 57
= 26 u - 57
26 u - 57 = 333
26 u = 333 + 57
26 u = 390
1 u = 390 ÷ 26 = 15
Number of less white balls than yellow balls at first
= 25 u - (1 u - 57)
= 24 u + 57
= 24 x 15 + 57
= 417
Answer(s): 417
