Japheth and Tom have some brown staplers and some silver staplers. The number of silver staplers Japheth has is equal to the number of brown staplers Tom has.
14 of Japheth's staplers are brown and
23 of Tom's staplers are silver. There are a total of 40 brown staplers. Find the total number of staplers they have.
Japheth |
Tom |
Total |
Brown |
Silver |
Brown |
Silver |
|
|
1x3 |
1x3 |
|
|
1x1 |
3x1 |
1x3 |
2x3 |
|
1 u |
3 u |
3 u |
6 u |
13 u |
The number of Japheth's silver staplers and Tom's brown staplers is the same.
The number of Japheth's silver staplers is repeated. The number of Tom's brown staplers is repeated. Make the number of Japheth's silver staplers and Tom's brown staplers the same. LCM of 3 and 4 is 3.
Number of brown staplers
= 1 u + 3 u
= 4 u
4 u = 40
1 u = 40 ÷ 4 = 10
Total number of staplers
= 1 u + 3 u + 3 u + 6 u
= 13 u
= 13 x 10
= 130
Answer(s): 130