A total of 120 blue staplers and gold staplers are in a container. The ratio of blue staplers to gold staplers was 1 : 4. Some green staplers and white staplers were put into the container. For every 3 gold staplers that were already in the container, 4 white ones were added. Then, the final number of blue staplers and green staplers was
37 the final number of gold staplers and white staplers. Find the total number of green and white staplers.
Green staplers |
Blue staplers |
Gold staplers |
White staplers |
|
1x3 |
4x3 |
|
|
|
3x4 |
4x4 |
3x4 |
7x4 |
9 u |
3 u |
12 u |
16 u |
The number of gold staplers is repeated. Make the number of gold staplers the same. LCM of 4 and 3 is 12.
The total number of gold staplers and white staplers is repeated. Make the total number of gold and white staplers the same. LCM of 28 and 7 is 28.
Total number of blue staplers and gold staplers
= 3 u + 12 u
= 15 u
15 u = 120
1 u = 120 ÷ 15 = 8
Total number of green and white staplers
= 9 u + 16 u
= 25 u
= 25 x 8
= 200
Answer(s): 200