Hazel had a total of 353 brown and yellow marbles. She used
47 of her brown marbles and bought another 65 yellow marbles. The number of yellow marbles she had then become
15 the number of brown marbles. How many less yellow marbles than brown marbles did she have at first?
| |
Brown marbles |
Yellow marbles |
| Before |
7x5 |
|
| Change |
- 4x5 |
+ 65 |
| After |
3x5 |
|
| Comparing marbles in the end |
5x3 |
1x3 |
| |
Brown marbles |
Yellow marbles |
| Before |
35 u |
3 u - 65 |
| Change |
- 20 u |
+ 65 |
| After |
15 u |
3 u |
The number of brown marbles in the end is repeated.
LCM of 3 and 5 is 15.
Total number of brown marbles and yellow marbles
= 35 u + 3 u - 65
= 38 u - 65
38 u - 65 = 353
38 u = 353 + 65
38 u = 418
1 u = 418 ÷ 38 = 11
Number of less yellow marbles than brown marbles at first
= 35 u - (3 u - 65)
= 32 u + 65
= 32 x 11 + 65
= 417
Answer(s): 417
