Victoria had 96 pencils.
34 of them were yellow pencils and the rest were blue pencils. After she had given away some yellow pencils, the ratio of the number of yellow pencils to the number of blue pencils became 7 : 8. How many pencils did she have in the end?
| |
Yellow |
Blue |
Total |
| Before |
3x8 =
24 u |
1x8 =
8 u |
4x8 =
32 u |
| Change |
- 17 u |
|
|
| After |
7 u |
8 u |
15 u |
The number of blue pencils remained unchanged.
LCM of 1 and 8 = 8
Total number of pencils at first = 32 u
32 u = 96
1 u = 96 ÷ 32 = 3
Number of pencils that Victoria had in the end
= 7 u + 8 u
= 15 u
= 15 x 3
= 45
Answer(s):45
