Penelope had 120 pencils.
910 of them were gold pencils and the rest were silver pencils. After she had given away some gold pencils, the ratio of the number of gold pencils to the number of silver pencils became 5 : 6. How many gold pencils did she give away?
| |
Gold |
Silver |
Total |
| Before |
9x6 =
54 u |
1x6 =
6 u |
10x6 =
60 u |
| Change |
- 49 u |
|
|
| After |
5 u |
6 u |
11 u |
The number of silver pencils remained unchanged.
LCM of 1 and 6 = 6
Total number of pencils at first = 60 u
60 u = 120
1 u = 120 ÷ 60 = 2
Number of gold pencils that she gave away
= 54 u - 5 u
= 49 u
= 49 x 2
= 98
Answer(s):98
