Vanessa had a total of 321 yellow and red beads. She used
35 of her yellow beads and bought another 57 red beads. The number of red beads she had then become
15 the number of yellow beads. How many less red beads than yellow beads did she have at first?
| |
Yellow beads |
Red beads |
| Before |
5x5 |
|
| Change |
- 3x5 |
+ 57 |
| After |
2x5 |
|
| Comparing beads in the end |
5x2 |
1x2 |
| |
Yellow beads |
Red beads |
| Before |
25 u |
2 u - 57 |
| Change |
- 15 u |
+ 57 |
| After |
10 u |
2 u |
The number of yellow beads in the end is repeated.
LCM of 2 and 5 is 10.
Total number of yellow beads and red beads
= 25 u + 2 u - 57
= 27 u - 57
27 u - 57 = 321
27 u = 321 + 57
27 u = 378
1 u = 378 ÷ 27 = 14
Number of less red beads than yellow beads at first
= 25 u - (2 u - 57)
= 23 u + 57
= 23 x 14 + 57
= 379
Answer(s): 379
