Eva had a total of 261 blue and pink beads. She used
45 of her blue beads and bought another 43 pink beads. The number of pink beads she had then become
13 the number of blue beads. How many less pink beads than blue beads did she have at first?
| |
Blue beads |
Pink beads |
| Before |
5x3 |
|
| Change |
- 4x3 |
+ 43 |
| After |
1x3 |
|
| Comparing beads in the end |
3x1 |
1x1 |
| |
Blue beads |
Pink beads |
| Before |
15 u |
1 u - 43 |
| Change |
- 12 u |
+ 43 |
| After |
3 u |
1 u |
The number of blue beads in the end is repeated.
LCM of 1 and 3 is 3.
Total number of blue beads and pink beads
= 15 u + 1 u - 43
= 16 u - 43
16 u - 43 = 261
16 u = 261 + 43
16 u = 304
1 u = 304 ÷ 16 = 19
Number of less pink beads than blue beads at first
= 15 u - (1 u - 43)
= 14 u + 43
= 14 x 19 + 43
= 309
Answer(s): 309
