A total of 77 blue markers and black markers are in a container. The ratio of blue markers to black markers was 3 : 8. Some pink markers and yellow markers were put into the container. For every 4 black markers that were already in the container, 5 yellow ones were added. Then, the final number of blue markers and pink markers was
23 the final number of black markers and yellow markers. Find the total number of pink and yellow markers.
Pink markers |
Blue markers |
Black markers |
Yellow markers |
|
3x1 |
8x1 |
|
|
|
4x2 |
5x2 |
2x6 |
3x6 |
9 u |
3 u |
8 u |
10 u |
The number of black markers is repeated. Make the number of black markers the same. LCM of 8 and 4 is 8.
The total number of black markers and yellow markers is repeated. Make the total number of black and yellow markers the same. LCM of 18 and 3 is 18.
Total number of blue markers and black markers
= 3 u + 8 u
= 11 u
11 u = 77
1 u = 77 ÷ 11 = 7
Total number of pink and yellow markers
= 9 u + 10 u
= 19 u
= 19 x 7
= 133
Answer(s): 133