Hilda had a total of 237 silver and grey marbles. She used
45 of her silver marbles and bought another 36 grey marbles. The number of grey marbles she had then become
14 the number of silver marbles. How many less grey marbles than silver marbles did she have at first?
|
Silver marbles |
Grey marbles |
Before |
5x4 |
|
Change |
- 4x4 |
+ 36 |
After |
1x4 |
|
Comparing marbles in the end |
4x1 |
1x1 |
|
Silver marbles |
Grey marbles |
Before |
20 u |
1 u - 36 |
Change |
- 16 u |
+ 36 |
After |
4 u |
1 u |
The number of silver marbles in the end is repeated.
LCM of 1 and 4 is 4.
Total number of silver marbles and grey marbles
= 20 u + 1 u - 36
= 21 u - 36
21 u - 36 = 237
21 u = 237 + 36
21 u = 273
1 u = 273 ÷ 21 = 13
Number of less grey marbles than silver marbles at first
= 20 u - (1 u - 36)
= 19 u + 36
= 19 x 13 + 36
= 283
Answer(s): 283