Pamela had a total of 260 black and yellow marbles. She used
45 of her black marbles and bought another 44 yellow marbles. The number of yellow marbles she had then become
13 the number of black marbles. How many less yellow marbles than black marbles did she have at first?
|
Black marbles |
Yellow marbles |
Before |
5x3 |
|
Change |
- 4x3 |
+ 44 |
After |
1x3 |
|
Comparing marbles in the end |
3x1 |
1x1 |
|
Black marbles |
Yellow marbles |
Before |
15 u |
1 u - 44 |
Change |
- 12 u |
+ 44 |
After |
3 u |
1 u |
The number of black marbles in the end is repeated.
LCM of 1 and 3 is 3.
Total number of black marbles and yellow marbles
= 15 u + 1 u - 44
= 16 u - 44
16 u - 44 = 260
16 u = 260 + 44
16 u = 304
1 u = 304 ÷ 16 = 19
Number of less yellow marbles than black marbles at first
= 15 u - (1 u - 44)
= 14 u + 44
= 14 x 19 + 44
= 310
Answer(s): 310