Sean invited 12 more men than women to his party.
23 of the men and
14 of the women turned up at the party. A total of 30 adults who were invited did not turn up. How many adults did he invite?
|
Men |
Women |
Total |
Comparing men and women |
12 more |
|
|
Total |
3x4 = 12 u |
+ 12 |
4x3 = 12 u |
|
Turned up |
2x4 = 8 u |
+ 8 |
1x3 = 3 u |
|
Did not turn up |
1x4 = 4 u |
+ 4 |
3x3 = 9 u |
30 |
|
Men |
Women |
Total |
Total |
12 u |
+ 12 |
12 u |
|
Turned up |
8 u |
+ 8 |
3 u |
|
Did not turn up |
4 u |
+ 4 |
9 u |
30 |
23 x 12 = 8
12 - 8 = 4
Total number of adults in the end
= 4 u + 4 + 9 u
= 13 u + 4
13 u + 4 = 30
13 u = 30 - 4
13 u = 26
1 u = 26 ÷ 13 = 2
Number of adults that Sean invited
= 12 u + 12 + 12 u
= 24 u + 12
= 24 x 2 + 12
= 48 + 12
= 60
Answer(s): 60