Pierre and Liam have some black staplers and some green staplers. The number of green staplers Pierre has is equal to the number of black staplers Liam has.
34 of Pierre's staplers are black and
16 of Liam's staplers are green. There are a total of 140 black staplers. Find the total number of staplers they have.
Pierre |
Liam |
Total |
Black |
Green |
Black |
Green |
|
|
1x5 |
1x5 |
|
|
3x5 |
1x5 |
5x1 |
1x1 |
|
15 u |
5 u |
5 u |
1 u |
26 u |
The number of Pierre's green staplers and Liam's black staplers is the same.
The number of Pierre's green staplers is repeated. The number of Liam's black staplers is repeated. Make the number of Pierre's green staplers and Liam's black staplers the same. LCM of 1 and 4 is 5.
Number of black staplers
= 15 u + 5 u
= 20 u
20 u = 140
1 u = 140 ÷ 20 = 7
Total number of staplers
= 15 u + 5 u + 5 u + 1 u
= 26 u
= 26 x 7
= 182
Answer(s): 182