Jaslyn had a total of 379 green and yellow marbles. She used
45 of her green marbles and bought another 53 yellow marbles. The number of yellow marbles she had then become
13 the number of green marbles. How many less yellow marbles than green marbles did she have at first?
| |
Green marbles |
Yellow marbles |
| Before |
5x3 |
|
| Change |
- 4x3 |
+ 53 |
| After |
1x3 |
|
| Comparing marbles in the end |
3x1 |
1x1 |
| |
Green marbles |
Yellow marbles |
| Before |
15 u |
1 u - 53 |
| Change |
- 12 u |
+ 53 |
| After |
3 u |
1 u |
The number of green marbles in the end is repeated.
LCM of 1 and 3 is 3.
Total number of green marbles and yellow marbles
= 15 u + 1 u - 53
= 16 u - 53
16 u - 53 = 379
16 u = 379 + 53
16 u = 432
1 u = 432 ÷ 16 = 27
Number of less yellow marbles than green marbles at first
= 15 u - (1 u - 53)
= 14 u + 53
= 14 x 27 + 53
= 431
Answer(s): 431
