Howard and Perry have some white markers and some black markers. The number of black markers Howard has is equal to the number of white markers Perry has.
23 of Howard's markers are white and
13 of Perry's markers are black. There are a total of 60 white markers. Find the total number of markers they have.
Howard |
Perry |
Total |
White |
Black |
White |
Black |
|
|
1x2 |
1x2 |
|
|
2x2 |
1x2 |
2x1 |
1x1 |
|
4 u |
2 u |
2 u |
1 u |
9 u |
The number of Howard's black markers and Perry's white markers is the same.
The number of Howard's black markers is repeated. The number of Perry's white markers is repeated. Make the number of Howard's black markers and Perry's white markers the same. LCM of 1 and 3 is 2.
Number of white markers
= 4 u + 2 u
= 6 u
6 u = 60
1 u = 60 ÷ 6 = 10
Total number of markers
= 4 u + 2 u + 2 u + 1 u
= 9 u
= 9 x 10
= 90
Answer(s): 90