Jade had a total of 376 green and gold beads. She used
45 of her green beads and bought another 40 gold beads. The number of gold beads she had then become
13 the number of green beads. How many less gold beads than green beads did she have at first?
| |
Green beads |
Gold beads |
| Before |
5x3 |
|
| Change |
- 4x3 |
+ 40 |
| After |
1x3 |
|
| Comparing beads in the end |
3x1 |
1x1 |
| |
Green beads |
Gold beads |
| Before |
15 u |
1 u - 40 |
| Change |
- 12 u |
+ 40 |
| 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 gold beads
= 15 u + 1 u - 40
= 16 u - 40
16 u - 40 = 376
16 u = 376 + 40
16 u = 416
1 u = 416 ÷ 16 = 26
Number of less gold beads than green beads at first
= 15 u - (1 u - 40)
= 14 u + 40
= 14 x 26 + 40
= 404
Answer(s): 404
