Fred invited 12 more women than men to his party.
34 of the women and
56 of the men turned up at the party. A total of 13 adults who were invited did not turn up. How many adults did he invite?
|
Women |
Men |
Total |
Comparing women and men |
12 more |
|
|
Total |
4x3 = 12 u |
+ 12 |
6x2 = 12 u |
|
Turned up |
3x3 = 9 u |
+ 9 |
5x2 = 10 u |
|
Did not turn up |
1x3 = 3 u |
+ 3 |
1x2 = 2 u |
13 |
|
Women |
Men |
Total |
Total |
12 u |
+ 12 |
12 u |
|
Turned up |
9 u |
+ 9 |
10 u |
|
Did not turn up |
3 u |
+ 3 |
2 u |
13 |
34 x 12 = 9
12 - 9 = 3
Total number of adults in the end
= 3 u + 3 + 2 u
= 5 u + 3
5 u + 3 = 13
5 u = 13 - 3
5 u = 10
1 u = 10 ÷ 5 = 2
Number of adults that Fred invited
= 12 u + 12 + 12 u
= 24 u + 12
= 24 x 2 + 12
= 48 + 12
= 60
Answer(s): 60