Will and Luke have some grey pens and some pink pens. The number of pink pens Will has is equal to the number of grey pens Luke has.
13 of Will's pens are grey and
23 of Luke's pens are pink. There are a total of 9 grey pens. Find the total number of pens they have.
| Will |
Luke |
Total |
| Grey |
Pink |
Grey |
Pink |
|
| |
1x2 |
1x2 |
|
|
| 1x1 |
2x1 |
1x2 |
2x2 |
|
| 1 u |
2 u |
2 u |
4 u |
9 u |
The number of Will's pink pens and Luke's grey pens is the same.
The number of Will's pink pens is repeated. The number of Luke's grey pens is repeated. Make the number of Will's pink pens and Luke's grey pens the same. LCM of 2 and 3 is 2.
Number of grey pens
= 1 u + 2 u
= 3 u
3 u = 9
1 u = 9 ÷ 3 = 3
Total number of pens
= 1 u + 2 u + 2 u + 4 u
= 9 u
= 9 x 3
= 27
Answer(s): 27
