Opal had a total of 328 green and yellow beads. She used
45 of her green beads and bought another 40 yellow beads. The number of yellow beads she had then become
13 the number of green beads. How many less yellow beads than green beads did she have at first?
| |
Green beads |
Yellow beads |
| Before |
5x3 |
|
| Change |
- 4x3 |
+ 40 |
| After |
1x3 |
|
| Comparing beads in the end |
3x1 |
1x1 |
| |
Green beads |
Yellow beads |
| Before |
15 u |
1 u - 40 |
| Change |
- 12 u |
+ 40 |
| After |
3 u |
1 u |
The number of green beads in the end is repeated.
LCM of 1 and 3 is 3.
Total number of green beads and yellow beads
= 15 u + 1 u - 40
= 16 u - 40
16 u - 40 = 328
16 u = 328 + 40
16 u = 368
1 u = 368 ÷ 16 = 23
Number of less yellow beads than green beads at first
= 15 u - (1 u - 40)
= 14 u + 40
= 14 x 23 + 40
= 362
Answer(s): 362
