A total of 60 gold staplers and black staplers are in a container. The ratio of gold staplers to black staplers was 1 : 2. Some white staplers and blue staplers were put into the container. For every 8 black staplers that were already in the container, 13 blue ones were added. Then, the final number of gold staplers and white staplers was
47 the final number of black staplers and blue staplers. Find the total number of white and blue staplers.
White staplers |
Gold staplers |
Black staplers |
Blue staplers |
|
1x4 |
2x4 |
|
|
|
8x1 |
13x1 |
4x3 |
7x3 |
8 u |
4 u |
8 u |
13 u |
The number of black staplers is repeated. Make the number of black staplers the same. LCM of 2 and 8 is 8.
The total number of black staplers and blue staplers is repeated. Make the total number of black and blue staplers the same. LCM of 21 and 7 is 21.
Total number of gold staplers and black staplers
= 4 u + 8 u
= 12 u
12 u = 60
1 u = 60 ÷ 12 = 5
Total number of white and blue staplers
= 8 u + 13 u
= 21 u
= 21 x 5
= 105
Answer(s): 105