Barbara had a total of 215 yellow and pink beads. She used
47 of her yellow beads and bought another 64 pink beads. The number of pink beads she had then become
14 the number of yellow beads. How many less pink beads than yellow beads did she have at first?
| |
Yellow beads |
Pink beads |
| Before |
7x4 |
|
| Change |
- 4x4 |
+ 64 |
| After |
3x4 |
|
| Comparing beads in the end |
4x3 |
1x3 |
| |
Yellow beads |
Pink beads |
| Before |
28 u |
3 u - 64 |
| Change |
- 16 u |
+ 64 |
| After |
12 u |
3 u |
The number of yellow beads in the end is repeated.
LCM of 3 and 4 is 12.
Total number of yellow beads and pink beads
= 28 u + 3 u - 64
= 31 u - 64
31 u - 64 = 215
31 u = 215 + 64
31 u = 279
1 u = 279 ÷ 31 = 9
Number of less pink beads than yellow beads at first
= 28 u - (3 u - 64)
= 25 u + 64
= 25 x 9 + 64
= 289
Answer(s): 289
