A total of 42 blue rulers and silver rulers are in a container. The ratio of blue rulers to silver rulers was 2 : 5. Some brown rulers and pink rulers were put into the container. For every 2 silver rulers that were already in the container, 5 pink ones were added. Then, the final number of blue rulers and brown rulers was
67 the final number of silver rulers and pink rulers. Find the total number of brown and pink rulers.
Brown rulers |
Blue rulers |
Silver rulers |
Pink rulers |
|
2x2 |
5x2 |
|
|
|
2x5 |
5x5 |
6x5 |
7x5 |
26 u |
4 u |
10 u |
25 u |
The number of silver rulers is repeated. Make the number of silver rulers the same. LCM of 5 and 2 is 10.
The total number of silver rulers and pink rulers is repeated. Make the total number of silver and pink rulers the same. LCM of 35 and 7 is 35.
Total number of blue rulers and silver rulers
= 4 u + 10 u
= 14 u
14 u = 42
1 u = 42 ÷ 14 = 3
Total number of brown and pink rulers
= 26 u + 25 u
= 51 u
= 51 x 3
= 153
Answer(s): 153