Lynn had a total of 303 red and brown balls. She used
45 of her red balls and bought another 54 brown balls. The number of brown balls she had then become
14 the number of red balls. How many less brown balls than red balls did she have at first?
| |
Red balls |
Brown balls |
| Before |
5x4 |
|
| Change |
- 4x4 |
+ 54 |
| After |
1x4 |
|
| Comparing balls in the end |
4x1 |
1x1 |
| |
Red balls |
Brown balls |
| Before |
20 u |
1 u - 54 |
| Change |
- 16 u |
+ 54 |
| After |
4 u |
1 u |
The number of red balls in the end is repeated.
LCM of 1 and 4 is 4.
Total number of red balls and brown balls
= 20 u + 1 u - 54
= 21 u - 54
21 u - 54 = 303
21 u = 303 + 54
21 u = 357
1 u = 357 ÷ 21 = 17
Number of less brown balls than red balls at first
= 20 u - (1 u - 54)
= 19 u + 54
= 19 x 17 + 54
= 377
Answer(s): 377
