A total of 21 brown notebooks and green notebooks are in a container. The ratio of brown notebooks to green notebooks was 1 : 6. Some purple notebooks and yellow notebooks were put into the container. For every 3 green notebooks that were already in the container, 9 yellow ones were added. Then, the final number of brown notebooks and purple notebooks was
13 the final number of green notebooks and yellow notebooks. Find the total number of purple and yellow notebooks.
Purple notebooks |
Brown notebooks |
Green notebooks |
Yellow notebooks |
|
1x1 |
6x1 |
|
|
|
3x2 |
9x2 |
1x8 |
3x8 |
7 u |
1 u |
6 u |
18 u |
The number of green notebooks is repeated. Make the number of green notebooks the same. LCM of 6 and 3 is 6.
The total number of green notebooks and yellow notebooks is repeated. Make the total number of green and yellow notebooks the same. LCM of 24 and 3 is 24.
Total number of brown notebooks and green notebooks
= 1 u + 6 u
= 7 u
7 u = 21
1 u = 21 ÷ 7 = 3
Total number of purple and yellow notebooks
= 7 u + 18 u
= 25 u
= 25 x 3
= 75
Answer(s): 75