Asher invited 9 more men than women to his party.
13 of the men and
35 of the women turned up at the party. A total of 38 adults who were invited did not turn up. How many adults did he invite?
|
Men |
Women |
Total |
Comparing men and women |
9 more |
|
|
Total |
3x5 = 15 u |
+ 9 |
5x3 = 15 u |
|
Turned up |
1x5 = 5 u |
+ 3 |
3x3 = 9 u |
|
Did not turn up |
2x5 = 10 u |
+ 6 |
2x3 = 6 u |
38 |
|
Men |
Women |
Total |
Total |
15 u |
+ 9 |
15 u |
|
Turned up |
5 u |
+ 3 |
9 u |
|
Did not turn up |
10 u |
+ 6 |
6 u |
38 |
13 x 9 = 3
9 - 3 = 6
Total number of adults in the end
= 10 u + 6 + 6 u
= 16 u + 6
16 u + 6 = 38
16 u = 38 - 6
16 u = 32
1 u = 32 ÷ 16 = 2
Number of adults that Asher invited
= 15 u + 9 + 15 u
= 30 u + 9
= 30 x 2 + 9
= 60 + 9
= 69
Answer(s): 69