Kathy had a total of 358 green and purple beads. She used
35 of her green beads and bought another 67 purple beads. The number of purple beads she had then become
13 the number of green beads. How many less purple beads than green beads did she have at first?
| |
Green beads |
Purple beads |
| Before |
5x3 |
|
| Change |
- 3x3 |
+ 67 |
| After |
2x3 |
|
| Comparing beads in the end |
3x2 |
1x2 |
| |
Green beads |
Purple beads |
| Before |
15 u |
2 u - 67 |
| Change |
- 9 u |
+ 67 |
| After |
6 u |
2 u |
The number of green beads in the end is repeated.
LCM of 2 and 3 is 6.
Total number of green beads and purple beads
= 15 u + 2 u - 67
= 17 u - 67
17 u - 67 = 358
17 u = 358 + 67
17 u = 425
1 u = 425 ÷ 17 = 25
Number of less purple beads than green beads at first
= 15 u - (2 u - 67)
= 13 u + 67
= 13 x 25 + 67
= 392
Answer(s): 392
