Gillian had a total of 201 silver and white beads. She used
35 of her silver beads and bought another 54 white beads. The number of white beads she had then become
13 the number of silver beads. How many less white beads than silver beads did she have at first?
| |
Silver beads |
White beads |
| Before |
5x3 |
|
| Change |
- 3x3 |
+ 54 |
| After |
2x3 |
|
| Comparing beads in the end |
3x2 |
1x2 |
| |
Silver beads |
White beads |
| Before |
15 u |
2 u - 54 |
| Change |
- 9 u |
+ 54 |
| After |
6 u |
2 u |
The number of silver beads in the end is repeated.
LCM of 2 and 3 is 6.
Total number of silver beads and white beads
= 15 u + 2 u - 54
= 17 u - 54
17 u - 54 = 201
17 u = 201 + 54
17 u = 255
1 u = 255 ÷ 17 = 15
Number of less white beads than silver beads at first
= 15 u - (2 u - 54)
= 13 u + 54
= 13 x 15 + 54
= 249
Answer(s): 249
