A total of 48 gold notebooks and white notebooks are in a container. The ratio of gold notebooks to white notebooks was 1 : 2. Some black notebooks and silver notebooks were put into the container. For every 8 white notebooks that were already in the container, 6 silver ones were added. Then, the final number of gold notebooks and black notebooks was
67 the final number of white notebooks and silver notebooks. Find the total number of black and silver notebooks.
| Black notebooks |
Gold notebooks |
White notebooks |
Silver notebooks |
| |
1x4 |
2x4 |
|
| |
|
8x1 |
6x1 |
| 6x2 |
7x2 |
| 8 u |
4 u |
8 u |
6 u |
The number of white notebooks is repeated. Make the number of white notebooks the same. LCM of 2 and 8 is 8.
The total number of white notebooks and silver notebooks is repeated. Make the total number of white and silver notebooks the same. LCM of 14 and 7 is 14.
Total number of gold notebooks and white notebooks
= 4 u + 8 u
= 12 u
12 u = 48
1 u = 48 ÷ 12 = 4
Total number of black and silver notebooks
= 8 u + 6 u
= 14 u
= 14 x 4
= 56
Answer(s): 56
