Anna had 140 pencils.
45 of them were gold pencils and the rest were purple pencils. After she had given away some gold pencils, the ratio of the number of gold pencils to the number of purple pencils became 3 : 4. How many pencils did she have in the end?
| |
Gold |
Purple |
Total |
| Before |
4x4 =
16 u |
1x4 =
4 u |
5x4 =
20 u |
| Change |
- 13 u |
|
|
| After |
3 u |
4 u |
7 u |
The number of purple pencils remained unchanged.
LCM of 1 and 4 = 4
Total number of pencils at first = 20 u
20 u = 140
1 u = 140 ÷ 20 = 7
Number of pencils that Anna had in the end
= 3 u + 4 u
= 7 u
= 7 x 7
= 49
Answer(s):49
