Luis invited 6 more men than women to his party.
23 of the men and
34 of the women turned up at the party. A total of 16 adults who were invited did not turn up. How many adults did he invite?
|
Men |
Women |
Total |
Comparing men and women |
6 more |
|
|
Total |
3x4 = 12 u |
+ 6 |
4x3 = 12 u |
|
Turned up |
2x4 = 8 u |
+ 4 |
3x3 = 9 u |
|
Did not turn up |
1x4 = 4 u |
+ 2 |
1x3 = 3 u |
16 |
|
Men |
Women |
Total |
Total |
12 u |
+ 6 |
12 u |
|
Turned up |
8 u |
+ 4 |
9 u |
|
Did not turn up |
4 u |
+ 2 |
3 u |
16 |
23 x 6 = 4
6 - 4 = 2
Total number of adults in the end
= 4 u + 2 + 3 u
= 7 u + 2
7 u + 2 = 16
7 u = 16 - 2
7 u = 14
1 u = 14 ÷ 7 = 2
Number of adults that Luis invited
= 12 u + 6 + 12 u
= 24 u + 6
= 24 x 2 + 6
= 48 + 6
= 54
Answer(s): 54