A total of 33 pink markers and blue markers are in a container. The ratio of pink markers to blue markers was 3 : 8. Some silver markers and yellow markers were put into the container. For every 2 blue markers that were already in the container, 10 yellow ones were added. Then, the final number of pink markers and silver markers was
14 the final number of blue markers and yellow markers. Find the total number of silver and yellow markers.
Silver markers |
Pink markers |
Blue markers |
Yellow markers |
|
3x1 |
8x1 |
|
|
|
2x4 |
10x4 |
1x12 |
4x12 |
9 u |
3 u |
8 u |
40 u |
The number of blue markers is repeated. Make the number of blue markers the same. LCM of 8 and 2 is 8.
The total number of blue markers and yellow markers is repeated. Make the total number of blue and yellow markers the same. LCM of 48 and 4 is 48.
Total number of pink markers and blue markers
= 3 u + 8 u
= 11 u
11 u = 33
1 u = 33 ÷ 11 = 3
Total number of silver and yellow markers
= 9 u + 40 u
= 49 u
= 49 x 3
= 147
Answer(s): 147