A total of 130 red notebooks and white notebooks are in a container. The ratio of red notebooks to white notebooks was 4 : 9. Some brown notebooks and silver notebooks were put into the container. For every 5 white notebooks that were already in the container, 2 silver ones were added. Then, the final number of red notebooks and brown notebooks was
37 the final number of white notebooks and silver notebooks. Find the total number of brown and silver notebooks.
Brown notebooks |
Red notebooks |
White notebooks |
Silver notebooks |
|
4x5 |
9x5 |
|
|
|
5x9 |
2x9 |
3x9 |
7x9 |
7 u |
20 u |
45 u |
18 u |
The number of white notebooks is repeated. Make the number of white notebooks the same. LCM of 9 and 5 is 45.
The total number of white notebooks and silver notebooks is repeated. Make the total number of white and silver notebooks the same. LCM of 63 and 7 is 63.
Total number of red notebooks and white notebooks
= 20 u + 45 u
= 65 u
65 u = 130
1 u = 130 ÷ 65 = 2
Total number of brown and silver notebooks
= 7 u + 18 u
= 25 u
= 25 x 2
= 50
Answer(s): 50