Nick and Tom have some brown markers and some silver markers. The number of silver markers Nick has is equal to the number of brown markers Tom has.
34 of Nick's markers are brown and
13 of Tom's markers are silver. There are a total of 40 brown markers. Find the total number of markers they have.
Nick |
Tom |
Total |
Brown |
Silver |
Brown |
Silver |
|
|
1x2 |
1x2 |
|
|
3x2 |
1x2 |
2x1 |
1x1 |
|
6 u |
2 u |
2 u |
1 u |
11 u |
The number of Nick's silver markers and Tom's brown markers is the same.
The number of Nick's silver markers is repeated. The number of Tom's brown markers is repeated. Make the number of Nick's silver markers and Tom's brown markers the same. LCM of 1 and 4 is 2.
Number of brown markers
= 6 u + 2 u
= 8 u
8 u = 40
1 u = 40 ÷ 8 = 5
Total number of markers
= 6 u + 2 u + 2 u + 1 u
= 11 u
= 11 x 5
= 55
Answer(s): 55