Roshel had a total of 205 red and yellow balls. She used
45 of her red balls and bought another 35 yellow balls. The number of yellow balls she had then become
13 the number of red balls. How many less yellow balls than red balls did she have at first?
| |
Red balls |
Yellow balls |
| Before |
5x3 |
|
| Change |
- 4x3 |
+ 35 |
| After |
1x3 |
|
| Comparing balls in the end |
3x1 |
1x1 |
| |
Red balls |
Yellow balls |
| Before |
15 u |
1 u - 35 |
| Change |
- 12 u |
+ 35 |
| After |
3 u |
1 u |
The number of red balls in the end is repeated.
LCM of 1 and 3 is 3.
Total number of red balls and yellow balls
= 15 u + 1 u - 35
= 16 u - 35
16 u - 35 = 205
16 u = 205 + 35
16 u = 240
1 u = 240 ÷ 16 = 15
Number of less yellow balls than red balls at first
= 15 u - (1 u - 35)
= 14 u + 35
= 14 x 15 + 35
= 245
Answer(s): 245
