Olivia had 126 pencils.
23 of them were white pencils and the rest were brown pencils. After she had given away some white pencils, the ratio of the number of white pencils to the number of brown pencils became 5 : 6. How many pencils did she have in the end?
| |
White |
Brown |
Total |
| Before |
2x6 =
12 u |
1x6 =
6 u |
3x6 =
18 u |
| Change |
- 7 u |
|
|
| After |
5 u |
6 u |
11 u |
The number of brown 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 Olivia had in the end
= 5 u + 6 u
= 11 u
= 11 x 7
= 77
Answer(s):77
