Will and Oliver have some black staplers and some grey staplers. The number of grey staplers Will has is equal to the number of black staplers Oliver has.
14 of Will's staplers are black and
16 of Oliver's staplers are grey. There are a total of 160 black staplers. Find the total number of staplers they have.
Will |
Oliver |
Total |
Black |
Grey |
Black |
Grey |
|
|
1x15 |
1x15 |
|
|
1x5 |
3x5 |
5x3 |
1x3 |
|
5 u |
15 u |
15 u |
3 u |
38 u |
The number of Will's grey staplers and Oliver's black staplers is the same.
The number of Will's grey staplers is repeated. The number of Oliver's black staplers is repeated. Make the number of Will's grey staplers and Oliver's black staplers the same. LCM of 3 and 4 is 15.
Number of black staplers
= 5 u + 15 u
= 20 u
20 u = 160
1 u = 160 ÷ 20 = 8
Total number of staplers
= 5 u + 15 u + 15 u + 3 u
= 38 u
= 38 x 8
= 304
Answer(s): 304