Elyse had a total of 285 red and gold beads. She used
45 of her red beads and bought another 51 gold beads. The number of gold beads she had then become
13 the number of red beads. How many less gold beads than red beads did she have at first?
| |
Red beads |
Gold beads |
| Before |
5x3 |
|
| Change |
- 4x3 |
+ 51 |
| After |
1x3 |
|
| Comparing beads in the end |
3x1 |
1x1 |
| |
Red beads |
Gold beads |
| Before |
15 u |
1 u - 51 |
| Change |
- 12 u |
+ 51 |
| After |
3 u |
1 u |
The number of red beads in the end is repeated.
LCM of 1 and 3 is 3.
Total number of red beads and gold beads
= 15 u + 1 u - 51
= 16 u - 51
16 u - 51 = 285
16 u = 285 + 51
16 u = 336
1 u = 336 ÷ 16 = 21
Number of less gold beads than red beads at first
= 15 u - (1 u - 51)
= 14 u + 51
= 14 x 21 + 51
= 345
Answer(s): 345
