Gabriel and Cody have some red pens and some purple pens. The number of purple pens Gabriel has is equal to the number of red pens Cody has.
14 of Gabriel's pens are red and
13 of Cody's pens are purple. There are a total of 40 red pens. Find the total number of pens they have.
| Gabriel |
Cody |
Total |
| Red |
Purple |
Red |
Purple |
|
| |
1x6 |
1x6 |
|
|
| 1x2 |
3x2 |
2x3 |
1x3 |
|
| 2 u |
6 u |
6 u |
3 u |
17 u |
The number of Gabriel's purple pens and Cody's red pens is the same.
The number of Gabriel's purple pens is repeated. The number of Cody's red pens is repeated. Make the number of Gabriel's purple pens and Cody's red pens the same. LCM of 3 and 4 is 6.
Number of red pens
= 2 u + 6 u
= 8 u
8 u = 40
1 u = 40 ÷ 8 = 5
Total number of pens
= 2 u + 6 u + 6 u + 3 u
= 17 u
= 17 x 5
= 85
Answer(s): 85
