Marion had a total of 269 green and brown beads. She used
45 of her green beads and bought another 35 brown beads. The number of brown beads she had then become
13 the number of green beads. How many less brown beads than green beads did she have at first?
| |
Green beads |
Brown beads |
| Before |
5x3 |
|
| Change |
- 4x3 |
+ 35 |
| After |
1x3 |
|
| Comparing beads in the end |
3x1 |
1x1 |
| |
Green beads |
Brown beads |
| Before |
15 u |
1 u - 35 |
| Change |
- 12 u |
+ 35 |
| After |
3 u |
1 u |
The number of green beads in the end is repeated.
LCM of 1 and 3 is 3.
Total number of green beads and brown beads
= 15 u + 1 u - 35
= 16 u - 35
16 u - 35 = 269
16 u = 269 + 35
16 u = 304
1 u = 304 ÷ 16 = 19
Number of less brown beads than green beads at first
= 15 u - (1 u - 35)
= 14 u + 35
= 14 x 19 + 35
= 301
Answer(s): 301
