Shiyun had a total of 375 white and silver beads. She used
45 of her white beads and bought another 67 silver beads. The number of silver beads she had then become
15 the number of white beads. How many less silver beads than white beads did she have at first?
| |
White beads |
Silver beads |
| Before |
5x5 |
|
| Change |
- 4x5 |
+ 67 |
| After |
1x5 |
|
| Comparing beads in the end |
5x1 |
1x1 |
| |
White beads |
Silver beads |
| Before |
25 u |
1 u - 67 |
| Change |
- 20 u |
+ 67 |
| After |
5 u |
1 u |
The number of white beads in the end is repeated.
LCM of 1 and 5 is 5.
Total number of white beads and silver beads
= 25 u + 1 u - 67
= 26 u - 67
26 u - 67 = 375
26 u = 375 + 67
26 u = 442
1 u = 442 ÷ 26 = 17
Number of less silver beads than white beads at first
= 25 u - (1 u - 67)
= 24 u + 67
= 24 x 17 + 67
= 475
Answer(s): 475
