Elyse had 144 pencils.
34 of them were yellow pencils and the rest were grey pencils. After she had given away some yellow pencils, the ratio of the number of yellow pencils to the number of grey pencils became 5 : 6. How many yellow pencils did she give away?
| |
Yellow |
Grey |
Total |
| Before |
3x6 =
18 u |
1x6 =
6 u |
4x6 =
24 u |
| Change |
- 13 u |
|
|
| After |
5 u |
6 u |
11 u |
The number of grey pencils remained unchanged.
LCM of 1 and 6 = 6
Total number of pencils at first = 24 u
24 u = 144
1 u = 144 ÷ 24 = 6
Number of yellow pencils that she gave away
= 18 u - 5 u
= 13 u
= 13 x 6
= 78
Answer(s):78
