John and Ethan have some red notebooks and some silver notebooks. The number of silver notebooks John has is equal to the number of red notebooks Ethan has.
14 of John's notebooks are red and
13 of Ethan's notebooks are silver. There are a total of 32 red notebooks. Find the total number of notebooks they have.
| John |
Ethan |
Total |
| Red |
Silver |
Red |
Silver |
|
| |
1x6 |
1x6 |
|
|
| 1x2 |
3x2 |
2x3 |
1x3 |
|
| 2 u |
6 u |
6 u |
3 u |
17 u |
The number of John's silver notebooks and Ethan's red notebooks is the same.
The number of John's silver notebooks is repeated. The number of Ethan's red notebooks is repeated. Make the number of John's silver notebooks and Ethan's red notebooks the same. LCM of 3 and 4 is 6.
Number of red notebooks
= 2 u + 6 u
= 8 u
8 u = 32
1 u = 32 ÷ 8 = 4
Total number of notebooks
= 2 u + 6 u + 6 u + 3 u
= 17 u
= 17 x 4
= 68
Answer(s): 68
