A total of 240 pink staplers and gold staplers are in a container. The ratio of pink staplers to gold staplers was 1 : 3. Some green staplers and yellow staplers were put into the container. For every 5 gold staplers that were already in the container, 4 yellow ones were added. Then, the final number of pink staplers and green staplers was
13 the final number of gold staplers and yellow staplers. Find the total number of green and yellow staplers.
Green staplers |
Pink staplers |
Gold staplers |
Yellow staplers |
|
1x5 |
3x5 |
|
|
|
5x3 |
4x3 |
1x9 |
3x9 |
4 u |
5 u |
15 u |
12 u |
The number of gold staplers is repeated. Make the number of gold staplers the same. LCM of 3 and 5 is 15.
The total number of gold staplers and yellow staplers is repeated. Make the total number of gold and yellow staplers the same. LCM of 27 and 3 is 27.
Total number of pink staplers and gold staplers
= 5 u + 15 u
= 20 u
20 u = 240
1 u = 240 ÷ 20 = 12
Total number of green and yellow staplers
= 4 u + 12 u
= 16 u
= 16 x 12
= 192
Answer(s): 192