Rael and Perry have some grey staplers and some gold staplers. The number of gold staplers Rael has is equal to the number of grey staplers Perry has.
34 of Rael's staplers are grey and
13 of Perry's staplers are gold. There are a total of 56 grey staplers. Find the total number of staplers they have.
Rael |
Perry |
Total |
Grey |
Gold |
Grey |
Gold |
|
|
1x2 |
1x2 |
|
|
3x2 |
1x2 |
2x1 |
1x1 |
|
6 u |
2 u |
2 u |
1 u |
11 u |
The number of Rael's gold staplers and Perry's grey staplers is the same.
The number of Rael's gold staplers is repeated. The number of Perry's grey staplers is repeated. Make the number of Rael's gold staplers and Perry's grey staplers the same. LCM of 1 and 4 is 2.
Number of grey staplers
= 6 u + 2 u
= 8 u
8 u = 56
1 u = 56 ÷ 8 = 7
Total number of staplers
= 6 u + 2 u + 2 u + 1 u
= 11 u
= 11 x 7
= 77
Answer(s): 77