Joelle had a total of 333 white and gold marbles. She used
35 of her white marbles and bought another 45 gold marbles. The number of gold marbles she had then become
15 the number of white marbles. How many less gold marbles than white marbles did she have at first?
| |
White marbles |
Gold marbles |
| Before |
5x5 |
|
| Change |
- 3x5 |
+ 45 |
| After |
2x5 |
|
| Comparing marbles in the end |
5x2 |
1x2 |
| |
White marbles |
Gold marbles |
| Before |
25 u |
2 u - 45 |
| Change |
- 15 u |
+ 45 |
| After |
10 u |
2 u |
The number of white marbles in the end is repeated.
LCM of 2 and 5 is 10.
Total number of white marbles and gold marbles
= 25 u + 2 u - 45
= 27 u - 45
27 u - 45 = 333
27 u = 333 + 45
27 u = 378
1 u = 378 ÷ 27 = 14
Number of less gold marbles than white marbles at first
= 25 u - (2 u - 45)
= 23 u + 45
= 23 x 14 + 45
= 367
Answer(s): 367
