Howard and Liam have some green staplers and some blue staplers. The number of blue staplers Howard has is equal to the number of green staplers Liam has.
14 of Howard's staplers are green and
34 of Liam's staplers are blue. There are a total of 8 green staplers. Find the total number of staplers they have.
Howard |
Liam |
Total |
Green |
Blue |
Green |
Blue |
|
|
1x3 |
1x3 |
|
|
1x1 |
3x1 |
1x3 |
3x3 |
|
1 u |
3 u |
3 u |
9 u |
16 u |
The number of Howard's blue staplers and Liam's green staplers is the same.
The number of Howard's blue staplers is repeated. The number of Liam's green staplers is repeated. Make the number of Howard's blue staplers and Liam's green staplers the same. LCM of 3 and 4 is 3.
Number of green staplers
= 1 u + 3 u
= 4 u
4 u = 8
1 u = 8 ÷ 4 = 2
Total number of staplers
= 1 u + 3 u + 3 u + 9 u
= 16 u
= 16 x 2
= 32
Answer(s): 32