Nick and Cole have some grey notebooks and some silver notebooks. The number of silver notebooks Nick has is equal to the number of grey notebooks Cole has.
15 of Nick's notebooks are grey and
56 of Cole's notebooks are silver. There are a total of 60 grey notebooks. Find the total number of notebooks they have.
Nick |
Cole |
Total |
Grey |
Silver |
Grey |
Silver |
|
|
1x4 |
1x4 |
|
|
1x1 |
4x1 |
1x4 |
5x4 |
|
1 u |
4 u |
4 u |
20 u |
29 u |
The number of Nick's silver notebooks and Cole's grey notebooks is the same.
The number of Nick's silver notebooks is repeated. The number of Cole's grey notebooks is repeated. Make the number of Nick's silver notebooks and Cole's grey notebooks the same. LCM of 4 and 5 is 4.
Number of grey notebooks
= 1 u + 4 u
= 5 u
5 u = 60
1 u = 60 ÷ 5 = 12
Total number of notebooks
= 1 u + 4 u + 4 u + 20 u
= 29 u
= 29 x 12
= 348
Answer(s): 348