Xylia had a total of 256 white and blue beads. She used
35 of her white beads and bought another 68 blue beads. The number of blue beads she had then become
15 the number of white beads. How many less blue beads than white beads did she have at first?
|
White beads |
Blue beads |
Before |
5x5 |
|
Change |
- 3x5 |
+ 68 |
After |
2x5 |
|
Comparing beads in the end |
5x2 |
1x2 |
|
White beads |
Blue beads |
Before |
25 u |
2 u - 68 |
Change |
- 15 u |
+ 68 |
After |
10 u |
2 u |
The number of white beads in the end is repeated.
LCM of 2 and 5 is 10.
Total number of white beads and blue beads
= 25 u + 2 u - 68
= 27 u - 68
27 u - 68 = 256
27 u = 256 + 68
27 u = 324
1 u = 324 ÷ 27 = 12
Number of less blue beads than white beads at first
= 25 u - (2 u - 68)
= 23 u + 68
= 23 x 12 + 68
= 344
Answer(s): 344