Archie and Ahmad have some green pens and some red pens. The number of red pens Archie has is equal to the number of green pens Ahmad has.
14 of Archie's pens are green and
56 of Ahmad's pens are red. There are a total of 36 green pens. Find the total number of pens they have.
Archie |
Ahmad |
Total |
Green |
Red |
Green |
Red |
|
|
1x3 |
1x3 |
|
|
1x1 |
3x1 |
1x3 |
5x3 |
|
1 u |
3 u |
3 u |
15 u |
22 u |
The number of Archie's red pens and Ahmad's green pens is the same.
The number of Archie's red pens is repeated. The number of Ahmad's green pens is repeated. Make the number of Archie's red pens and Ahmad's green pens the same. LCM of 3 and 4 is 3.
Number of green pens
= 1 u + 3 u
= 4 u
4 u = 36
1 u = 36 ÷ 4 = 9
Total number of pens
= 1 u + 3 u + 3 u + 15 u
= 22 u
= 22 x 9
= 198
Answer(s): 198