Eva had a total of 278 yellow and brown beads. She used
47 of her yellow beads and bought another 63 brown beads. The number of brown beads she had then become
14 the number of yellow beads. How many less brown beads than yellow beads did she have at first?
| |
Yellow beads |
Brown beads |
| Before |
7x4 |
|
| Change |
- 4x4 |
+ 63 |
| After |
3x4 |
|
| Comparing beads in the end |
4x3 |
1x3 |
| |
Yellow beads |
Brown beads |
| Before |
28 u |
3 u - 63 |
| Change |
- 16 u |
+ 63 |
| 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 brown beads
= 28 u + 3 u - 63
= 31 u - 63
31 u - 63 = 278
31 u = 278 + 63
31 u = 341
1 u = 341 ÷ 31 = 11
Number of less brown beads than yellow beads at first
= 28 u - (3 u - 63)
= 25 u + 63
= 25 x 11 + 63
= 338
Answer(s): 338
