Shannon had a total of 431 blue and white marbles. She used
35 of her blue marbles and bought another 62 white marbles. The number of white marbles she had then become
13 the number of blue marbles. How many less white marbles than blue marbles did she have at first?
| |
Blue marbles |
White marbles |
| Before |
5x3 |
|
| Change |
- 3x3 |
+ 62 |
| After |
2x3 |
|
| Comparing marbles in the end |
3x2 |
1x2 |
| |
Blue marbles |
White marbles |
| Before |
15 u |
2 u - 62 |
| Change |
- 9 u |
+ 62 |
| After |
6 u |
2 u |
The number of blue marbles in the end is repeated.
LCM of 2 and 3 is 6.
Total number of blue marbles and white marbles
= 15 u + 2 u - 62
= 17 u - 62
17 u - 62 = 431
17 u = 431 + 62
17 u = 493
1 u = 493 ÷ 17 = 29
Number of less white marbles than blue marbles at first
= 15 u - (2 u - 62)
= 13 u + 62
= 13 x 29 + 62
= 439
Answer(s): 439
