Oscar and Tom have some gold staplers and some silver staplers. The number of silver staplers Oscar has is equal to the number of gold staplers Tom has.
23 of Oscar's staplers are gold and
13 of Tom's staplers are silver. There are a total of 72 gold staplers. Find the total number of staplers they have.
Oscar |
Tom |
Total |
Gold |
Silver |
Gold |
Silver |
|
|
1x2 |
1x2 |
|
|
2x2 |
1x2 |
2x1 |
1x1 |
|
4 u |
2 u |
2 u |
1 u |
9 u |
The number of Oscar's silver staplers and Tom's gold staplers is the same.
The number of Oscar's silver staplers is repeated. The number of Tom's gold staplers is repeated. Make the number of Oscar's silver staplers and Tom's gold staplers the same. LCM of 1 and 3 is 2.
Number of gold staplers
= 4 u + 2 u
= 6 u
6 u = 72
1 u = 72 ÷ 6 = 12
Total number of staplers
= 4 u + 2 u + 2 u + 1 u
= 9 u
= 9 x 12
= 108
Answer(s): 108