Ken invited 6 more men than women to his party.
23 of the men and
56 of the women turned up at the party. A total of 8 adults who were invited did not turn up. How many adults did he invite?
| |
Men |
Women |
Total |
Comparing men
and women |
6 more |
|
|
| Total |
3x2 =
6 u |
+ 6 |
6x1 =
6 u |
|
| Turned up |
2x2 =
4 u |
+ 4 |
5x1 =
5 u |
|
| Did not turn up |
1x2 =
2 u |
+ 2 |
1x1 =
1 u |
8 |
| |
Men |
Women |
Total |
| Total |
6 u |
+ 6 |
6 u |
|
| Turned up |
4 u |
+ 4 |
5 u |
|
| Did not turn up |
2 u |
+ 2 |
1 u |
8 |
23 x 6 = 4
6 - 4 = 2
Total number of adults in the end
= 2 u + 2 + 1 u
= 3 u + 2
3 u + 2 = 8
3 u = 8 - 2
3 u = 6
1 u = 6 ÷ 3 = 2
Number of adults that Ken invited
= 6 u + 6 + 6 u
= 12 u + 6
= 12 x 2 + 6
= 24 + 6
= 30
Answer(s): 30
