A total of 60 brown notebooks and silver notebooks are in a container. The ratio of brown notebooks to silver notebooks was 1 : 4. Some gold notebooks and yellow notebooks were put into the container. For every 3 silver notebooks that were already in the container, 5 yellow ones were added. Then, the final number of brown notebooks and gold notebooks was
14 the final number of silver notebooks and yellow notebooks. Find the total number of gold and yellow notebooks.
Gold notebooks |
Brown notebooks |
Silver notebooks |
Yellow notebooks |
|
1x3 |
4x3 |
|
|
|
3x4 |
5x4 |
1x8 |
4x8 |
5 u |
3 u |
12 u |
20 u |
The number of silver notebooks is repeated. Make the number of silver notebooks the same. LCM of 4 and 3 is 12.
The total number of silver notebooks and yellow notebooks is repeated. Make the total number of silver and yellow notebooks the same. LCM of 32 and 4 is 32.
Total number of brown notebooks and silver notebooks
= 3 u + 12 u
= 15 u
15 u = 60
1 u = 60 ÷ 15 = 4
Total number of gold and yellow notebooks
= 5 u + 20 u
= 25 u
= 25 x 4
= 100
Answer(s): 100