A total of 9 green rulers and yellow rulers are in a container. The ratio of green rulers to yellow rulers was 1 : 2. Some pink rulers and grey rulers were put into the container. For every 1 yellow rulers that were already in the container, 14 grey ones were added. Then, the final number of green rulers and pink rulers was
56 the final number of yellow rulers and grey rulers. Find the total number of pink and grey rulers.
Pink rulers |
Green rulers |
Yellow rulers |
Grey rulers |
|
1x1 |
2x1 |
|
|
|
1x2 |
14x2 |
5x5 |
6x5 |
24 u |
1 u |
2 u |
28 u |
The number of yellow rulers is repeated. Make the number of yellow rulers the same. LCM of 2 and 1 is 2.
The total number of yellow rulers and grey rulers is repeated. Make the total number of yellow and grey rulers the same. LCM of 30 and 6 is 30.
Total number of green rulers and yellow rulers
= 1 u + 2 u
= 3 u
3 u = 9
1 u = 9 ÷ 3 = 3
Total number of pink and grey rulers
= 24 u + 28 u
= 52 u
= 52 x 3
= 156
Answer(s): 156