Ryan invited 12 more men than women to his party.
23 of the men and
45 of the women turned up at the party. A total of 20 adults who were invited did not turn up. How many adults did he invite?
|
Men |
Women |
Total |
Comparing men and women |
12 more |
|
|
Total |
3x5 = 15 u |
+ 12 |
5x3 = 15 u |
|
Turned up |
2x5 = 10 u |
+ 8 |
4x3 = 12 u |
|
Did not turn up |
1x5 = 5 u |
+ 4 |
1x3 = 3 u |
20 |
|
Men |
Women |
Total |
Total |
15 u |
+ 12 |
15 u |
|
Turned up |
10 u |
+ 8 |
12 u |
|
Did not turn up |
5 u |
+ 4 |
3 u |
20 |
23 x 12 = 8
12 - 8 = 4
Total number of adults in the end
= 5 u + 4 + 3 u
= 8 u + 4
8 u + 4 = 20
8 u = 20 - 4
8 u = 16
1 u = 16 ÷ 8 = 2
Number of adults that Ryan invited
= 15 u + 12 + 15 u
= 30 u + 12
= 30 x 2 + 12
= 60 + 12
= 72
Answer(s): 72