Cathy had a total of 413 pink and green beads. She used
45 of her pink beads and bought another 51 green beads. The number of green beads she had then become
13 the number of pink beads. How many less green beads than pink beads did she have at first?
| |
Pink beads |
Green beads |
| Before |
5x3 |
|
| Change |
- 4x3 |
+ 51 |
| After |
1x3 |
|
| Comparing beads in the end |
3x1 |
1x1 |
| |
Pink beads |
Green beads |
| Before |
15 u |
1 u - 51 |
| Change |
- 12 u |
+ 51 |
| After |
3 u |
1 u |
The number of pink beads in the end is repeated.
LCM of 1 and 3 is 3.
Total number of pink beads and green beads
= 15 u + 1 u - 51
= 16 u - 51
16 u - 51 = 413
16 u = 413 + 51
16 u = 464
1 u = 464 ÷ 16 = 29
Number of less green beads than pink beads at first
= 15 u - (1 u - 51)
= 14 u + 51
= 14 x 29 + 51
= 457
Answer(s): 457
