Zeph and Oliver have some pink markers and some black markers. The number of black markers Zeph has is equal to the number of pink markers Oliver has.
34 of Zeph's markers are pink and
14 of Oliver's markers are black. There are a total of 120 pink markers. Find the total number of markers they have.
Zeph |
Oliver |
Total |
Pink |
Black |
Pink |
Black |
|
|
1x3 |
1x3 |
|
|
3x3 |
1x3 |
3x1 |
1x1 |
|
9 u |
3 u |
3 u |
1 u |
16 u |
The number of Zeph's black markers and Oliver's pink markers is the same.
The number of Zeph's black markers is repeated. The number of Oliver's pink markers is repeated. Make the number of Zeph's black markers and Oliver's pink markers the same. LCM of 1 and 4 is 3.
Number of pink markers
= 9 u + 3 u
= 12 u
12 u = 120
1 u = 120 ÷ 12 = 10
Total number of markers
= 9 u + 3 u + 3 u + 1 u
= 16 u
= 16 x 10
= 160
Answer(s): 160