Gwen had a total of 289 pink and white beads. She used
45 of her pink beads and bought another 49 white beads. The number of white beads she had then become
15 the number of pink beads. How many less white beads than pink beads did she have at first?
| |
Pink beads |
White beads |
| Before |
5x5 |
|
| Change |
- 4x5 |
+ 49 |
| After |
1x5 |
|
| Comparing beads in the end |
5x1 |
1x1 |
| |
Pink beads |
White beads |
| Before |
25 u |
1 u - 49 |
| Change |
- 20 u |
+ 49 |
| After |
5 u |
1 u |
The number of pink beads in the end is repeated.
LCM of 1 and 5 is 5.
Total number of pink beads and white beads
= 25 u + 1 u - 49
= 26 u - 49
26 u - 49 = 289
26 u = 289 + 49
26 u = 338
1 u = 338 ÷ 26 = 13
Number of less white beads than pink beads at first
= 25 u - (1 u - 49)
= 24 u + 49
= 24 x 13 + 49
= 361
Answer(s): 361
