Kylie had 126 pencils.
23 of them were purple pencils and the rest were black pencils. After she had given away some purple pencils, the ratio of the number of purple pencils to the number of black pencils became 5 : 6. How many pencils did she have in the end?
| |
Purple |
Black |
Total |
| Before |
2x6 =
12 u |
1x6 =
6 u |
3x6 =
18 u |
| Change |
- 7 u |
|
|
| After |
5 u |
6 u |
11 u |
The number of black pencils remained unchanged.
LCM of 1 and 6 = 6
Total number of pencils at first = 18 u
18 u = 126
1 u = 126 ÷ 18 = 7
Number of pencils that Kylie had in the end
= 5 u + 6 u
= 11 u
= 11 x 7
= 77
Answer(s):77
