Nick invited 12 more women than men to his party.
13 of the women and
14 of the men turned up at the party. A total of 42 adults who were invited did not turn up. How many adults did he invite?
|
Women |
Men |
Total |
Comparing women and men |
12 more |
|
|
Total |
3x4 = 12 u |
+ 12 |
4x3 = 12 u |
|
Turned up |
1x4 = 4 u |
+ 4 |
1x3 = 3 u |
|
Did not turn up |
2x4 = 8 u |
+ 8 |
3x3 = 9 u |
42 |
|
Women |
Men |
Total |
Total |
12 u |
+ 12 |
12 u |
|
Turned up |
4 u |
+ 4 |
3 u |
|
Did not turn up |
8 u |
+ 8 |
9 u |
42 |
13 x 12 = 4
12 - 4 = 8
Total number of adults in the end
= 8 u + 8 + 9 u
= 17 u + 8
17 u + 8 = 42
17 u = 42 - 8
17 u = 34
1 u = 34 ÷ 17 = 2
Number of adults that Nick invited
= 12 u + 12 + 12 u
= 24 u + 12
= 24 x 2 + 12
= 48 + 12
= 60
Answer(s): 60