Penelope had 80 pencils.
34 of them were purple pencils and the rest were white pencils. After she had given away some purple pencils, the ratio of the number of purple pencils to the number of white pencils became 3 : 5. How many pencils did she have in the end?
| |
Purple |
White |
Total |
| Before |
3x5 =
15 u |
1x5 =
5 u |
4x5 =
20 u |
| Change |
- 12 u |
|
|
| After |
3 u |
5 u |
8 u |
The number of white pencils remained unchanged.
LCM of 1 and 5 = 5
Total number of pencils at first = 20 u
20 u = 80
1 u = 80 ÷ 20 = 4
Number of pencils that Penelope had in the end
= 3 u + 5 u
= 8 u
= 8 x 4
= 32
Answer(s):32
