A total of 32 grey rulers and silver rulers are in a container. The ratio of grey rulers to silver rulers was 1 : 3. Some pink rulers and red rulers were put into the container. For every 4 silver rulers that were already in the container, 4 red ones were added. Then, the final number of grey rulers and pink rulers was
23 the final number of silver rulers and red rulers. Find the total number of pink and red rulers.
| Pink rulers |
Grey rulers |
Silver rulers |
Red rulers |
| |
1x4 |
3x4 |
|
| |
|
4x3 |
4x3 |
| 2x8 |
3x8 |
| 12 u |
4 u |
12 u |
12 u |
The number of silver rulers is repeated. Make the number of silver rulers the same. LCM of 3 and 4 is 12.
The total number of silver rulers and red rulers is repeated. Make the total number of silver and red rulers the same. LCM of 24 and 3 is 24.
Total number of grey rulers and silver rulers
= 4 u + 12 u
= 16 u
16 u = 32
1 u = 32 ÷ 16 = 2
Total number of pink and red rulers
= 12 u + 12 u
= 24 u
= 24 x 2
= 48
Answer(s): 48
