Marion had a total of 395 silver and green beads. She used
35 of her silver beads and bought another 30 green beads. The number of green beads she had then become
13 the number of silver beads. How many less green beads than silver beads did she have at first?
| |
Silver beads |
Green beads |
| Before |
5x3 |
|
| Change |
- 3x3 |
+ 30 |
| After |
2x3 |
|
| Comparing beads in the end |
3x2 |
1x2 |
| |
Silver beads |
Green beads |
| Before |
15 u |
2 u - 30 |
| Change |
- 9 u |
+ 30 |
| 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 green beads
= 15 u + 2 u - 30
= 17 u - 30
17 u - 30 = 395
17 u = 395 + 30
17 u = 425
1 u = 425 ÷ 17 = 25
Number of less green beads than silver beads at first
= 15 u - (2 u - 30)
= 13 u + 30
= 13 x 25 + 30
= 355
Answer(s): 355
