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