Flynn and Glen have some gold pencils and some brown pencils. The number of brown pencils Flynn has is equal to the number of gold pencils Glen has.
14 of Flynn's pencils are gold and
34 of Glen's pencils are brown. There are a total of 8 gold pencils. Find the total number of pencils they have.
Flynn |
Glen |
Total |
Gold |
Brown |
Gold |
Brown |
|
|
1x3 |
1x3 |
|
|
1x1 |
3x1 |
1x3 |
3x3 |
|
1 u |
3 u |
3 u |
9 u |
16 u |
The number of Flynn's brown pencils and Glen's gold pencils is the same.
The number of Flynn's brown pencils is repeated. The number of Glen's gold pencils is repeated. Make the number of Flynn's brown pencils and Glen's gold pencils the same. LCM of 3 and 4 is 3.
Number of gold pencils
= 1 u + 3 u
= 4 u
4 u = 8
1 u = 8 ÷ 4 = 2
Total number of pencils
= 1 u + 3 u + 3 u + 9 u
= 16 u
= 16 x 2
= 32
Answer(s): 32