Esther had a total of 445 gold and white marbles. She used
45 of her gold marbles and bought another 59 white marbles. The number of white marbles she had then become
14 the number of gold marbles. How many less white marbles than gold marbles did she have at first?
| |
Gold marbles |
White marbles |
| Before |
5x4 |
|
| Change |
- 4x4 |
+ 59 |
| After |
1x4 |
|
| Comparing marbles in the end |
4x1 |
1x1 |
| |
Gold marbles |
White marbles |
| Before |
20 u |
1 u - 59 |
| Change |
- 16 u |
+ 59 |
| After |
4 u |
1 u |
The number of gold marbles in the end is repeated.
LCM of 1 and 4 is 4.
Total number of gold marbles and white marbles
= 20 u + 1 u - 59
= 21 u - 59
21 u - 59 = 445
21 u = 445 + 59
21 u = 504
1 u = 504 ÷ 21 = 24
Number of less white marbles than gold marbles at first
= 20 u - (1 u - 59)
= 19 u + 59
= 19 x 24 + 59
= 515
Answer(s): 515
