Jade had a total of 269 white and grey beads. She used
37 of her white beads and bought another 31 grey beads. The number of grey beads she had then become
13 the number of white beads. How many less grey beads than white beads did she have at first?
|
White beads |
Grey beads |
Before |
7x3 |
|
Change |
- 3x3 |
+ 31 |
After |
4x3 |
|
Comparing beads in the end |
3x4 |
1x4 |
|
White beads |
Grey beads |
Before |
21 u |
4 u - 31 |
Change |
- 9 u |
+ 31 |
After |
12 u |
4 u |
The number of white beads in the end is repeated.
LCM of 4 and 3 is 12.
Total number of white beads and grey beads
= 21 u + 4 u - 31
= 25 u - 31
25 u - 31 = 269
25 u = 269 + 31
25 u = 300
1 u = 300 ÷ 25 = 12
Number of less grey beads than white beads at first
= 21 u - (4 u - 31)
= 17 u + 31
= 17 x 12 + 31
= 235
Answer(s): 235