Olivia had a total of 254 red and yellow beads. She used
47 of her red beads and bought another 56 yellow beads. The number of yellow beads she had then become
14 the number of red beads. How many less yellow beads than red beads did she have at first?
| |
Red beads |
Yellow beads |
| Before |
7x4 |
|
| Change |
- 4x4 |
+ 56 |
| After |
3x4 |
|
| Comparing beads in the end |
4x3 |
1x3 |
| |
Red beads |
Yellow beads |
| Before |
28 u |
3 u - 56 |
| Change |
- 16 u |
+ 56 |
| After |
12 u |
3 u |
The number of red beads in the end is repeated.
LCM of 3 and 4 is 12.
Total number of red beads and yellow beads
= 28 u + 3 u - 56
= 31 u - 56
31 u - 56 = 254
31 u = 254 + 56
31 u = 310
1 u = 310 ÷ 31 = 10
Number of less yellow beads than red beads at first
= 28 u - (3 u - 56)
= 25 u + 56
= 25 x 10 + 56
= 306
Answer(s): 306
