Ryan and Fred have some silver notebooks and some white notebooks. The number of white notebooks Ryan has is equal to the number of silver notebooks Fred has.
23 of Ryan's notebooks are silver and
14 of Fred's notebooks are white. There are a total of 81 silver notebooks. Find the total number of notebooks they have.
Ryan |
Fred |
Total |
Silver |
White |
Silver |
White |
|
|
1x3 |
1x3 |
|
|
2x3 |
1x3 |
3x1 |
1x1 |
|
6 u |
3 u |
3 u |
1 u |
13 u |
The number of Ryan's white notebooks and Fred's silver notebooks is the same.
The number of Ryan's white notebooks is repeated. The number of Fred's silver notebooks is repeated. Make the number of Ryan's white notebooks and Fred's silver notebooks the same. LCM of 1 and 3 is 3.
Number of silver notebooks
= 6 u + 3 u
= 9 u
9 u = 81
1 u = 81 ÷ 9 = 9
Total number of notebooks
= 6 u + 3 u + 3 u + 1 u
= 13 u
= 13 x 9
= 117
Answer(s): 117