Julie had 84 pencils.
23 of them were purple pencils and the rest were silver pencils. After she had given away some purple pencils, the ratio of the number of purple pencils to the number of silver pencils became 3 : 4. How many pencils did she have in the end?
| |
Purple |
Silver |
Total |
| Before |
2x4 =
8 u |
1x4 =
4 u |
3x4 =
12 u |
| Change |
- 5 u |
|
|
| After |
3 u |
4 u |
7 u |
The number of silver pencils remained unchanged.
LCM of 1 and 4 = 4
Total number of pencils at first = 12 u
12 u = 84
1 u = 84 ÷ 12 = 7
Number of pencils that Julie had in the end
= 3 u + 4 u
= 7 u
= 7 x 7
= 49
Answer(s):49
